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#### AMS Classification Numbers
####
subjects:AMS Classification Numbers:ROOT:0
AMS_0:Sections 00-XX - 09-XX:subjects:0
AMS_1:Sections 10-XX - 19-XX:subjects:0
AMS_2:Sections 20-XX - 29-XX:subjects:0
AMS_3:Sections 30-XX - 39-XX:subjects:0
AMS_4:Sections 40-XX - 49-XX:subjects:0
AMS_5:Sections 50-XX - 59-XX:subjects:0
AMS_6:Sections 60-XX - 69-XX:subjects:0
AMS_7:Sections 70-XX - 79-XX:subjects:0
AMS_8:Sections 80-XX - 89-XX:subjects:0
AMS_9:Sections 90-XX - 99-XX:subjects:0
AMS_00:00-XX General:AMS_0:0
AMS_00Axx:00Axx General and miscellaneous specific topics:AMS_00:0
AMS_00A05:00A05 General mathematics:AMS_00Axx:1
AMS_00A06:00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.):AMS_00Axx:1
AMS_00A07:00A07 Problem books:AMS_00Axx:1
AMS_00A08:00A08 Recreational mathematics:AMS_00Axx:1
AMS_00A15:00A15 Bibliographies:AMS_00Axx:1
AMS_00A17:00A17 External book reviews:AMS_00Axx:1
AMS_00A20:00A20 Dictionaries and other general reference works:AMS_00Axx:1
AMS_00A22:00A22 Formularies:AMS_00Axx:1
AMS_00A30:00A30 Philosophy of mathematics:AMS_00Axx:1
AMS_00A35:00A35 Methodology of mathematics, didactics:AMS_00Axx:1
AMS_00A69:00A69 General applied mathematics:AMS_00Axx:1
AMS_00A71:00A71 Theory of mathematical modeling:AMS_00Axx:1
AMS_00A72:00A72 General methods of simulation:AMS_00Axx:1
AMS_00A73:00A73 Dimensional analysis:AMS_00Axx:1
AMS_00A79:00A79 Physics (use more specific entries from Sections 70 through 86 when possible):AMS_00Axx:1
AMS_00A99:00A99 Miscellaneous topics:AMS_00Axx:1
AMS_00Bxx:00Bxx Conference proceedings and collections of papers:AMS_00:0
AMS_00B05:00B05 Collections of abstracts of lectures:AMS_00Bxx:1
AMS_00B10:00B10 Collections of articles of general interest:AMS_00Bxx:1
AMS_00B15:00B15 Collections of articles of miscellaneous specific content:AMS_00Bxx:1
AMS_00B20:00B20 Proceedings of conferences of general interest:AMS_00Bxx:1
AMS_00B25:00B25 Proceedings of conferences of miscellaneous specific interest:AMS_00Bxx:1
AMS_00B30:00B30 Festschriften:AMS_00Bxx:1
AMS_00B50:00B50 Volumes of selected translations:AMS_00Bxx:1
AMS_00B55:00B55 Miscellaneous volumes of translations:AMS_00Bxx:1
AMS_00B60:00B60 Collections of reprinted articles:AMS_00Bxx:1
AMS_01:01-XX History and biography:AMS_0:0
AMS_01Axx:01Axx History of mathematics and mathematicians:AMS_01:0
AMS_01A05:01A05 General histories, source books:AMS_01Axx:1
AMS_01A07:01A07 Ethnomathematics, general:AMS_01Axx:1
AMS_01A10:01A10 Paleolithic, Neolithic:AMS_01Axx:1
AMS_01A12:01A12 Indigenous cultures of the Americas:AMS_01Axx:1
AMS_01A13:01A13 Other indigenous cultures (non-European):AMS_01Axx:1
AMS_01A15:01A15 Indigenous European cultures (pre-Greek, etc.):AMS_01Axx:1
AMS_01A16:01A16 Egyptian:AMS_01Axx:1
AMS_01A17:01A17 Babylonian:AMS_01Axx:1
AMS_01A20:01A20 Greek, Roman:AMS_01Axx:1
AMS_01A25:01A25 China:AMS_01Axx:1
AMS_01A27:01A27 Japan:AMS_01Axx:1
AMS_01A29:01A29 Southeast Asia:AMS_01Axx:1
AMS_01A30:01A30 Islam (Medieval):AMS_01Axx:1
AMS_01A32:01A32 India:AMS_01Axx:1
AMS_01A35:01A35 Medieval:AMS_01Axx:1
AMS_01A40:01A40 15th and 16th centuries, Renaissance:AMS_01Axx:1
AMS_01A45:01A45 17th century:AMS_01Axx:1
AMS_01A50:01A50 18th century:AMS_01Axx:1
AMS_01A55:01A55 19th century:AMS_01Axx:1
AMS_01A60:01A60 20th century:AMS_01Axx:1
AMS_01A61:01A61 Twenty-first century:AMS_01Axx:1
AMS_01A65:01A65 Contemporary:AMS_01Axx:1
AMS_01A67:01A67 Future prospectives:AMS_01Axx:1
AMS_01A70:01A70 Biographies, obituaries, personalia, bibliographies:AMS_01Axx:1
AMS_01A72:01A72 Schools of mathematics:AMS_01Axx:1
AMS_01A73:01A73 Universities:AMS_01Axx:1
AMS_01A74:01A74 Other institutions and academies:AMS_01Axx:1
AMS_01A75:01A75 Collected or selected works; reprintings or translations of classics:AMS_01Axx:1
AMS_01A80:01A80 Sociology (and profession) of mathematics:AMS_01Axx:1
AMS_01A85:01A85 Historiography:AMS_01Axx:1
AMS_01A90:01A90 Bibliographic studies:AMS_01Axx:1
AMS_01A99:01A99 Miscellaneous topics:AMS_01Axx:1
AMS_03:03-XX Mathematical logic and foundations:AMS_0:0
AMS_03Bxx:03Bxx General logic:AMS_03:0
AMS_03B05:03B05 Classical propositional logic:AMS_03Bxx:1
AMS_03B10:03B10 Classical first-order logic:AMS_03Bxx:1
AMS_03B15:03B15 Higher-order logic and type theory:AMS_03Bxx:1
AMS_03B20:03B20 Subsystems of classical logic (including intuitionistic logic):AMS_03Bxx:1
AMS_03B22:03B22 Abstract deductive systems:AMS_03Bxx:1
AMS_03B25:03B25 Decidability of theories and sets of sentences:AMS_03Bxx:1
AMS_03B30:03B30 Foundations of classical theories (including reverse mathematics):AMS_03Bxx:1
AMS_03B35:03B35 Mechanization of proofs and logical operations:AMS_03Bxx:1
AMS_03B40:03B40 Combinatory logic and lambda-calculus:AMS_03Bxx:1
AMS_03B42:03B42 Logic of knowledge and belief:AMS_03Bxx:1
AMS_03B44:03B44 Temporal logic:AMS_03Bxx:1
AMS_03B45:03B45 Modal logic:AMS_03Bxx:1
AMS_03B47:03B47 Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics):AMS_03Bxx:1
AMS_03B48:03B48 Probability and inductive logic:AMS_03Bxx:1
AMS_03B50:03B50 Many-valued logic:AMS_03Bxx:1
AMS_03B52:03B52 Fuzzy logic; logic of vagueness:AMS_03Bxx:1
AMS_03B53:03B53 Logics admitting inconsistency (paraconsistent logics, discussive logics, etc.):AMS_03Bxx:1
AMS_03B55:03B55 Intermediate logics:AMS_03Bxx:1
AMS_03B60:03B60 Other nonclassical logic:AMS_03Bxx:1
AMS_03B65:03B65 Logic of natural languages:AMS_03Bxx:1
AMS_03B70:03B70 Logic in computer science:AMS_03Bxx:1
AMS_03B80:03B80 Other applications of logic:AMS_03Bxx:1
AMS_03B99:03B99 None of the above, but in this section:AMS_03Bxx:1
AMS_03Cxx:03Cxx Model theory:AMS_03:0
AMS_03C05:03C05 Equational classes, universal algebra:AMS_03Cxx:1
AMS_03C07:03C07 Basic properties of first-order languages and structures:AMS_03Cxx:1
AMS_03C10:03C10 Quantifier elimination, model completeness and related topics:AMS_03Cxx:1
AMS_03C13:03C13 Finite structures:AMS_03Cxx:1
AMS_03C15:03C15 Denumerable structures:AMS_03Cxx:1
AMS_03C20:03C20 Ultraproducts and related constructions:AMS_03Cxx:1
AMS_03C25:03C25 Model-theoretic forcing:AMS_03Cxx:1
AMS_03C30:03C30 Other model constructions:AMS_03Cxx:1
AMS_03C35:03C35 Categoricity and completeness of theories:AMS_03Cxx:1
AMS_03C40:03C40 Interpolation, preservation, definability:AMS_03Cxx:1
AMS_03C45:03C45 Classification theory, stability and related concepts:AMS_03Cxx:1
AMS_03C50:03C50 Models with special properties (saturated, rigid, etc.):AMS_03Cxx:1
AMS_03C52:03C52 Properties of classes of models:AMS_03Cxx:1
AMS_03C55:03C55 Set-theoretic model theory:AMS_03Cxx:1
AMS_03C57:03C57 Effective and recursion-theoretic model theory:AMS_03Cxx:1
AMS_03C60:03C60 Model-theoretic algebra:AMS_03Cxx:1
AMS_03C62:03C62 Models of arithmetic and set theory:AMS_03Cxx:1
AMS_03C64:03C64 Model theory of ordered structures; o-minimality:AMS_03Cxx:1
AMS_03C65:03C65 Models of other mathematical theories:AMS_03Cxx:1
AMS_03C68:03C68 Other classical first-order model theory:AMS_03Cxx:1
AMS_03C70:03C70 Logic on admissible sets:AMS_03Cxx:1
AMS_03C75:03C75 Other infinitary logic:AMS_03Cxx:1
AMS_03C80:03C80 Logic with extra quantifiers and operators:AMS_03Cxx:1
AMS_03C85:03C85 Second- and higher-order model theory:AMS_03Cxx:1
AMS_03C90:03C90 Nonclassical models (Boolean-valued, sheaf, etc.):AMS_03Cxx:1
AMS_03C95:03C95 Abstract model theory:AMS_03Cxx:1
AMS_03C98:03C98 Applications of model theory:AMS_03Cxx:1
AMS_03C99:03C99 None of the above, but in this section:AMS_03Cxx:1
AMS_03Dxx:03Dxx Computability and recursion theory:AMS_03:0
AMS_03D03:03D03 Thue and Post systems, etc.:AMS_03Dxx:1
AMS_03D05:03D05 Automata and formal grammars in connection with logical questions:AMS_03Dxx:1
AMS_03D10:03D10 Turing machines and related notions:AMS_03Dxx:1
AMS_03D15:03D15 Complexity of computation:AMS_03Dxx:1
AMS_03D20:03D20 Recursive functions and relations, subrecursive hierarchies:AMS_03Dxx:1
AMS_03D25:03D25 Recursively (computably) enumerable sets and degrees:AMS_03Dxx:1
AMS_03D28:03D28 Other Turing degree structures:AMS_03Dxx:1
AMS_03D30:03D30 Other degrees and reducibilities:AMS_03Dxx:1
AMS_03D35:03D35 Undecidability and degrees of sets of sentences:AMS_03Dxx:1
AMS_03D40:03D40 Word problems, etc.:AMS_03Dxx:1
AMS_03D45:03D45 Theory of numerations, effectively presented structures:AMS_03Dxx:1
AMS_03D50:03D50 Recursive equivalence types of sets and structures, isols:AMS_03Dxx:1
AMS_03D55:03D55 Hierarchies:AMS_03Dxx:1
AMS_03D60:03D60 Computability and recursion theory on ordinals, admissible sets, etc.:AMS_03Dxx:1
AMS_03D65:03D65 Higher-type and set recursion theory:AMS_03Dxx:1
AMS_03D70:03D70 Inductive definability:AMS_03Dxx:1
AMS_03D75:03D75 Abstract and axiomatic computability and recursion theory:AMS_03Dxx:1
AMS_03D80:03D80 Applications of computability and recursion theory:AMS_03Dxx:1
AMS_03D99:03D99 None of the above, but in this section:AMS_03Dxx:1
AMS_03Exx:03Exx Set theory:AMS_03:0
AMS_03E02:03E02 Partition relations:AMS_03Exx:1
AMS_03E04:03E04 Ordered sets and their cofinalities; pcf theory:AMS_03Exx:1
AMS_03E05:03E05 Other combinatorial set theory:AMS_03Exx:1
AMS_03E10:03E10 Ordinal and cardinal numbers:AMS_03Exx:1
AMS_03E15:03E15 Descriptive set theory:AMS_03Exx:1
AMS_03E17:03E17 Cardinal characteristics of the continuum:AMS_03Exx:1
AMS_03E20:03E20 Other classical set theory (including functions, relations, and set algebra):AMS_03Exx:1
AMS_03E25:03E25 Axiom of choice and related propositions:AMS_03Exx:1
AMS_03E30:03E30 Axiomatics of classical set theory and its fragments:AMS_03Exx:1
AMS_03E35:03E35 Consistency and independence results:AMS_03Exx:1
AMS_03E40:03E40 Other aspects of forcing and Boolean-valued models:AMS_03Exx:1
AMS_03E45:03E45 Inner models, including constructibility, ordinal definability, and core models:AMS_03Exx:1
AMS_03E47:03E47 Other notions of set-theoretic definability:AMS_03Exx:1
AMS_03E50:03E50 Continuum hypothesis and Martin's axiom:AMS_03Exx:1
AMS_03E55:03E55 Large cardinals:AMS_03Exx:1
AMS_03E60:03E60 Determinacy principles:AMS_03Exx:1
AMS_03E65:03E65 Other hypotheses and axioms:AMS_03Exx:1
AMS_03E70:03E70 Nonclassical and second-order set theories:AMS_03Exx:1
AMS_03E72:03E72 Fuzzy set theory:AMS_03Exx:1
AMS_03E75:03E75 Applications of set theory:AMS_03Exx:1
AMS_03E99:03E99 None of the above, but in this section:AMS_03Exx:1
AMS_03Fxx:03Fxx Proof theory and constructive mathematics:AMS_03:0
AMS_03F03:03F03 Proof theory, general:AMS_03Fxx:1
AMS_03F05:03F05 Cut-elimination and normal-form theorems:AMS_03Fxx:1
AMS_03F07:03F07 Structure of proofs:AMS_03Fxx:1
AMS_03F10:03F10 Functionals in proof theory:AMS_03Fxx:1
AMS_03F15:03F15 Recursive ordinals and ordinal notations:AMS_03Fxx:1
AMS_03F20:03F20 Complexity of proofs:AMS_03Fxx:1
AMS_03F25:03F25 Relative consistency and interpretations:AMS_03Fxx:1
AMS_03F30:03F30 First-order arithmetic and fragments:AMS_03Fxx:1
AMS_03F35:03F35 Second- and higher-order arithmetic and fragments:AMS_03Fxx:1
AMS_03F40:03F40 Gödel numberings in proof theory:AMS_03Fxx:1
AMS_03F45:03F45 Provability logics and related algebras (e.g., diagonalizable algebras):AMS_03Fxx:1
AMS_03F50:03F50 Metamathematics of constructive systems:AMS_03Fxx:1
AMS_03F52:03F52 Linear logic and other substructural logics:AMS_03Fxx:1
AMS_03F55:03F55 Intuitionistic mathematics:AMS_03Fxx:1
AMS_03F60:03F60 Constructive and recursive analysis:AMS_03Fxx:1
AMS_03F65:03F65 Other constructive mathematics:AMS_03Fxx:1
AMS_03F99:03F99 None of the above, but in this section:AMS_03Fxx:1
AMS_03Gxx:03Gxx Algebraic logic:AMS_03:0
AMS_03G05:03G05 Boolean algebras:AMS_03Gxx:1
AMS_03G10:03G10 Lattices and related structures:AMS_03Gxx:1
AMS_03G12:03G12 Quantum logic:AMS_03Gxx:1
AMS_03G15:03G15 Cylindric and polyadic algebras; relation algebras:AMS_03Gxx:1
AMS_03G20:03G20 Lukasiewicz and Post algebras:AMS_03Gxx:1
AMS_03G25:03G25 Other algebras related to logic:AMS_03Gxx:1
AMS_03G30:03G30 Categorical logic, topoi:AMS_03Gxx:1
AMS_03G99:03G99 None of the above, but in this section:AMS_03Gxx:1
AMS_03Hxx:03Hxx Nonstandard models:AMS_03:0
AMS_03H05:03H05 Nonstandard models in mathematics:AMS_03Hxx:1
AMS_03H10:03H10 Other applications of nonstandard models (economics, physics, etc.):AMS_03Hxx:1
AMS_03H15:03H15 Nonstandard models of arithmetic:AMS_03Hxx:1
AMS_03H99:03H99 None of the above, but in this section:AMS_03Hxx:1
AMS_05:05-XX Combinatorics:AMS_0:0
AMS_05Axx:05Axx Classical combinatorial problems:AMS_05:0
AMS_05A05:05A05 Combinatorial choice problems (subsets, representatives, permutations):AMS_05Axx:1
AMS_05A10:05A10 Factorials, binomial coefficients, combinatorial functions:AMS_05Axx:1
AMS_05A15:05A15 Exact enumeration problems, generating functions:AMS_05Axx:1
AMS_05A16:05A16 Asymptotic enumeration:AMS_05Axx:1
AMS_05A17:05A17 Partitions of integers:AMS_05Axx:1
AMS_05A18:05A18 Partitions of sets:AMS_05Axx:1
AMS_05A19:05A19 Combinatorial identities:AMS_05Axx:1
AMS_05A20:05A20 Combinatorial inequalities:AMS_05Axx:1
AMS_05A30:05A30 $q$-calculus and related topics:AMS_05Axx:1
AMS_05A40:05A40 Umbral calculus:AMS_05Axx:1
AMS_05A99:05A99 None of the above, but in this section:AMS_05Axx:1
AMS_05Bxx:05Bxx Designs and configurations:AMS_05:0
AMS_05B05:05B05 Block designs:AMS_05Bxx:1
AMS_05B07:05B07 Triple systems:AMS_05Bxx:1
AMS_05B10:05B10 Difference sets (number-theoretic, group-theoretic, etc.):AMS_05Bxx:1
AMS_05B15:05B15 Orthogonal arrays, Latin squares, Room squares:AMS_05Bxx:1
AMS_05B20:05B20 Matrices (incidence, Hadamard, etc.):AMS_05Bxx:1
AMS_05B25:05B25 Finite geometries:AMS_05Bxx:1
AMS_05B30:05B30 Other designs, configurations:AMS_05Bxx:1
AMS_05B35:05B35 Matroids, geometric lattices:AMS_05Bxx:1
AMS_05B40:05B40 Packing and covering:AMS_05Bxx:1
AMS_05B45:05B45 Tessellation and tiling problems:AMS_05Bxx:1
AMS_05B50:05B50 Polyominoes:AMS_05Bxx:1
AMS_05B99:05B99 None of the above, but in this section:AMS_05Bxx:1
AMS_05Cxx:05Cxx Graph theory:AMS_05:0
AMS_05C05:05C05 Trees:AMS_05Cxx:1
AMS_05C07:05C07 Degree sequences:AMS_05Cxx:1
AMS_05C10:05C10 Topological graph theory, imbedding:AMS_05Cxx:1
AMS_05C12:05C12 Distance in graphs:AMS_05Cxx:1
AMS_05C15:05C15 Coloring of graphs and hypergraphs:AMS_05Cxx:1
AMS_05C17:05C17 Perfect graphs:AMS_05Cxx:1
AMS_05C20:05C20 Directed graphs (digraphs), tournaments:AMS_05Cxx:1
AMS_05C22:05C22 Signed, gain and biased graphs:AMS_05Cxx:1
AMS_05C25:05C25 Graphs and groups:AMS_05Cxx:1
AMS_05C30:05C30 Enumeration of graphs and maps:AMS_05Cxx:1
AMS_05C35:05C35 Extremal problems:AMS_05Cxx:1
AMS_05C38:05C38 Paths and cycles:AMS_05Cxx:1
AMS_05C40:05C40 Connectivity:AMS_05Cxx:1
AMS_05C45:05C45 Eulerian and Hamiltonian graphs:AMS_05Cxx:1
AMS_05C50:05C50 Graphs and matrices:AMS_05Cxx:1
AMS_05C55:05C55 Generalized Ramsey theory:AMS_05Cxx:1
AMS_05C60:05C60 Isomorphism problems (reconstruction conjecture, etc.):AMS_05Cxx:1
AMS_05C62:05C62 Graph representations (geometric and intersection representations, etc.):AMS_05Cxx:1
AMS_05C65:05C65 Hypergraphs:AMS_05Cxx:1
AMS_05C69:05C69 Dominating sets, independent sets, cliques:AMS_05Cxx:1
AMS_05C70:05C70 Factorization, matching, covering and packing:AMS_05Cxx:1
AMS_05C75:05C75 Structural characterization of types of graphs:AMS_05Cxx:1
AMS_05C78:05C78 Graph labelling (graceful graphs, bandwidth, etc.):AMS_05Cxx:1
AMS_05C80:05C80 Random graphs:AMS_05Cxx:1
AMS_05C83:05C83 Graph minors:AMS_05Cxx:1
AMS_05C85:05C85 Graph algorithms:AMS_05Cxx:1
AMS_05C90:05C90 Applications:AMS_05Cxx:1
AMS_05C99:05C99 None of the above, but in this section:AMS_05Cxx:1
AMS_05Dxx:05Dxx Extremal combinatorics:AMS_05:0
AMS_05D05:05D05 Extremal set theory:AMS_05Dxx:1
AMS_05D10:05D10 Ramsey theory:AMS_05Dxx:1
AMS_05D15:05D15 Transversal (matching) theory:AMS_05Dxx:1
AMS_05D40:05D40 Probabilistic methods:AMS_05Dxx:1
AMS_05D99:05D99 None of the above, but in this section:AMS_05Dxx:1
AMS_05Exx:05Exx Algebraic combinatorics:AMS_05:0
AMS_05E05:05E05 Symmetric functions:AMS_05Exx:1
AMS_05E10:05E10 Tableaux, representations of the symmetric group:AMS_05Exx:1
AMS_05E15:05E15 Combinatorial problems concerning the classical groups:AMS_05Exx:1
AMS_05E20:05E20 Group actions on designs, geometries and codes:AMS_05Exx:1
AMS_05E25:05E25 Group actions on posets and homology groups of posets:AMS_05Exx:1
AMS_05E30:05E30 Association schemes, strongly regular graphs:AMS_05Exx:1
AMS_05E35:05E35 Orthogonal polynomials:AMS_05Exx:1
AMS_05E99:05E99 None of the above, but in this section:AMS_05Exx:1
AMS_06:06-XX Order, lattices, ordered algebraic structures:AMS_0:0
AMS_06Axx:06Axx Ordered sets:AMS_06:0
AMS_06A05:06A05 Total order:AMS_06Axx:1
AMS_06A06:06A06 Partial order, general:AMS_06Axx:1
AMS_06A07:06A07 Combinatorics of partially ordered sets:AMS_06Axx:1
AMS_06A11:06A11 Algebraic aspects of posets:AMS_06Axx:1
AMS_06A12:06A12 Semilattices:AMS_06Axx:1
AMS_06A15:06A15 Galois correspondences, closure operators:AMS_06Axx:1
AMS_06A99:06A99 None of the above, but in this section:AMS_06Axx:1
AMS_06Bxx:06Bxx Lattices:AMS_06:0
AMS_06B05:06B05 Structure theory:AMS_06Bxx:1
AMS_06B10:06B10 Ideals, congruence relations:AMS_06Bxx:1
AMS_06B15:06B15 Representation theory:AMS_06Bxx:1
AMS_06B20:06B20 Varieties of lattices:AMS_06Bxx:1
AMS_06B23:06B23 Complete lattices, completions:AMS_06Bxx:1
AMS_06B25:06B25 Free lattices, projective lattices, word problems:AMS_06Bxx:1
AMS_06B30:06B30 Topological lattices, order topologies:AMS_06Bxx:1
AMS_06B35:06B35 Continuous lattices and posets, applications:AMS_06Bxx:1
AMS_06B99:06B99 None of the above, but in this section:AMS_06Bxx:1
AMS_06Cxx:06Cxx Modular lattices, complemented lattices:AMS_06:0
AMS_06C05:06C05 Modular lattices, Desarguesian lattices:AMS_06Cxx:1
AMS_06C10:06C10 Semimodular lattices, geometric lattices:AMS_06Cxx:1
AMS_06C15:06C15 Complemented lattices, orthocomplemented lattices and posets:AMS_06Cxx:1
AMS_06C20:06C20 Complemented modular lattices, continuous geometries:AMS_06Cxx:1
AMS_06C99:06C99 None of the above, but in this section:AMS_06Cxx:1
AMS_06Dxx:06Dxx Distributive lattices:AMS_06:0
AMS_06D05:06D05 Structure and representation theory:AMS_06Dxx:1
AMS_06D10:06D10 Complete distributivity:AMS_06Dxx:1
AMS_06D15:06D15 Pseudocomplemented lattices:AMS_06Dxx:1
AMS_06D20:06D20 Heyting algebras:AMS_06Dxx:1
AMS_06D22:06D22 Frames, locales:AMS_06Dxx:1
AMS_06D25:06D25 Post algebras:AMS_06Dxx:1
AMS_06D30:06D30 De Morgan algebras, Lukasiewicz algebras:AMS_06Dxx:1
AMS_06D35:06D35 MV-algebras:AMS_06Dxx:1
AMS_06D50:06D50 Lattices and duality:AMS_06Dxx:1
AMS_06D72:06D72 Fuzzy lattices (soft algebras) and related topics:AMS_06Dxx:1
AMS_06D99:06D99 None of the above, but in this section:AMS_06Dxx:1
AMS_06Exx:06Exx Boolean algebras (Boolean rings):AMS_06:0
AMS_06E05:06E05 Structure theory:AMS_06Exx:1
AMS_06E10:06E10 Chain conditions, complete algebras:AMS_06Exx:1
AMS_06E15:06E15 Stone space and related constructions:AMS_06Exx:1
AMS_06E20:06E20 Ring-theoretic properties:AMS_06Exx:1
AMS_06E25:06E25 Boolean algebras with additional operations (diagonalizable algebras, etc.):AMS_06Exx:1
AMS_06E30:06E30 Boolean functions:AMS_06Exx:1
AMS_06E99:06E99 None of the above, but in this section:AMS_06Exx:1
AMS_06Fxx:06Fxx Ordered structures:AMS_06:0
AMS_06F05:06F05 Ordered semigroups and monoids:AMS_06Fxx:1
AMS_06F07:06F07 Quantales:AMS_06Fxx:1
AMS_06F10:06F10 Noether lattices:AMS_06Fxx:1
AMS_06F15:06F15 Ordered groups:AMS_06Fxx:1
AMS_06F20:06F20 Ordered abelian groups, Riesz groups, ordered linear spaces:AMS_06Fxx:1
AMS_06F25:06F25 Ordered rings, algebras, modules:AMS_06Fxx:1
AMS_06F30:06F30 Topological lattices, order topologies:AMS_06Fxx:1
AMS_06F35:06F35 BCK-algebras, BCI-algebras:AMS_06Fxx:1
AMS_06F99:06F99 None of the above, but in this section:AMS_06Fxx:1
AMS_08:08-XX General algebraic systems:AMS_0:0
AMS_08Axx:08Axx Algebraic structures:AMS_08:0
AMS_08A02:08A02 Relational systems, laws of composition:AMS_08Axx:1
AMS_08A05:08A05 Structure theory:AMS_08Axx:1
AMS_08A30:08A30 Subalgebras, congruence relations:AMS_08Axx:1
AMS_08A35:08A35 Automorphisms, endomorphisms:AMS_08Axx:1
AMS_08A40:08A40 Operations, polynomials, primal algebras:AMS_08Axx:1
AMS_08A45:08A45 Equational compactness:AMS_08Axx:1
AMS_08A50:08A50 Word problems:AMS_08Axx:1
AMS_08A55:08A55 Partial algebras:AMS_08Axx:1
AMS_08A60:08A60 Unary algebras:AMS_08Axx:1
AMS_08A62:08A62 Finitary algebras:AMS_08Axx:1
AMS_08A65:08A65 Infinitary algebras:AMS_08Axx:1
AMS_08A68:08A68 Heterogeneous algebras:AMS_08Axx:1
AMS_08A70:08A70 Applications of universal algebra in computer science:AMS_08Axx:1
AMS_08A72:08A72 Fuzzy algebraic structures:AMS_08Axx:1
AMS_08A99:08A99 None of the above, but in this section:AMS_08Axx:1
AMS_08Bxx:08Bxx Varieties:AMS_08:0
AMS_08B05:08B05 Equational logic, Malcev (Maltsev) conditions:AMS_08Bxx:1
AMS_08B10:08B10 Congruence modularity, congruence distributivity:AMS_08Bxx:1
AMS_08B15:08B15 Lattices of varieties:AMS_08Bxx:1
AMS_08B20:08B20 Free algebras:AMS_08Bxx:1
AMS_08B25:08B25 Products, amalgamated products, and other kinds of limits and colimits:AMS_08Bxx:1
AMS_08B26:08B26 Subdirect products and subdirect irreducibility:AMS_08Bxx:1
AMS_08B30:08B30 Injectives, projectives:AMS_08Bxx:1
AMS_08B99:08B99 None of the above, but in this section:AMS_08Bxx:1
AMS_08Cxx:08Cxx Other classes of algebras:AMS_08:0
AMS_08C05:08C05 Categories of algebras:AMS_08Cxx:1
AMS_08C10:08C10 Axiomatic model classes:AMS_08Cxx:1
AMS_08C15:08C15 Quasivarieties:AMS_08Cxx:1
AMS_08C99:08C99 None of the above, but in this section:AMS_08Cxx:1
AMS_11:11-XX Number theory:AMS_1:0
AMS_11Axx:11Axx Elementary number theory:AMS_11:0
AMS_11A05:11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors:AMS_11Axx:1
AMS_11A07:11A07 Congruences; primitive roots; residue systems:AMS_11Axx:1
AMS_11A15:11A15 Power residues, reciprocity:AMS_11Axx:1
AMS_11A25:11A25 Arithmetic functions; related numbers; inversion formulas:AMS_11Axx:1
AMS_11A41:11A41 Primes:AMS_11Axx:1
AMS_11A51:11A51 Factorization; primality:AMS_11Axx:1
AMS_11A55:11A55 Continued fractions:AMS_11Axx:1
AMS_11A63:11A63 Radix representation; digital problems:AMS_11Axx:1
AMS_11A67:11A67 Other representations:AMS_11Axx:1
AMS_11A99:11A99 None of the above, but in this section:AMS_11Axx:1
AMS_11Bxx:11Bxx Sequences and sets:AMS_11:0
AMS_11B05:11B05 Density, gaps, topology:AMS_11Bxx:1
AMS_11B13:11B13 Additive bases:AMS_11Bxx:1
AMS_11B25:11B25 Arithmetic progressions:AMS_11Bxx:1
AMS_11B34:11B34 Representation functions:AMS_11Bxx:1
AMS_11B37:11B37 Recurrences:AMS_11Bxx:1
AMS_11B39:11B39 Fibonacci and Lucas numbers and polynomials and generalizations:AMS_11Bxx:1
AMS_11B50:11B50 Sequences (mod $m$):AMS_11Bxx:1
AMS_11B57:11B57 Farey sequences; the sequences $:AMS_11Bxx:1
AMS_11B65:11B65 Binomial coefficients; factorials; $q$-identities:AMS_11Bxx:1
AMS_11B68:11B68 Bernoulli and Euler numbers and polynomials:AMS_11Bxx:1
AMS_11B73:11B73 Bell and Stirling numbers:AMS_11Bxx:1
AMS_11B75:11B75 Other combinatorial number theory:AMS_11Bxx:1
AMS_11B83:11B83 Special sequences and polynomials:AMS_11Bxx:1
AMS_11B85:11B85 Automata sequences:AMS_11Bxx:1
AMS_11B99:11B99 None of the above, but in this section:AMS_11Bxx:1
AMS_11Cxx:11Cxx Polynomials and matrices:AMS_11:0
AMS_11C08:11C08 Polynomials:AMS_11Cxx:1
AMS_11C20:11C20 Matrices, determinants:AMS_11Cxx:1
AMS_11C99:11C99 None of the above, but in this section:AMS_11Cxx:1
AMS_11Dxx:11Dxx Diophantine equations:AMS_11:0
AMS_11D04:11D04 Linear equations:AMS_11Dxx:1
AMS_11D09:11D09 Quadratic and bilinear equations:AMS_11Dxx:1
AMS_11D25:11D25 Cubic and quartic equations:AMS_11Dxx:1
AMS_11D41:11D41 Higher degree equations; Fermat's equation:AMS_11Dxx:1
AMS_11D45:11D45 Counting solutions of Diophantine equations:AMS_11Dxx:1
AMS_11D57:11D57 Multiplicative and norm form equations:AMS_11Dxx:1
AMS_11D59:11D59 Thue-Mahler equations:AMS_11Dxx:1
AMS_11D61:11D61 Exponential equations:AMS_11Dxx:1
AMS_11D68:11D68 Rational numbers as sums of fractions:AMS_11Dxx:1
AMS_11D72:11D72 Equations in many variables:AMS_11Dxx:1
AMS_11D75:11D75 Diophantine inequalities:AMS_11Dxx:1
AMS_11D79:11D79 Congruences in many variables:AMS_11Dxx:1
AMS_11D85:11D85 Representation problems:AMS_11Dxx:1
AMS_11D88:11D88 $p$-adic and power series fields:AMS_11Dxx:1
AMS_11D99:11D99 None of the above, but in this section:AMS_11Dxx:1
AMS_11Exx:11Exx Forms and linear algebraic groups:AMS_11:0
AMS_11E04:11E04 Quadratic forms over general fields:AMS_11Exx:1
AMS_11E08:11E08 Quadratic forms over local rings and fields:AMS_11Exx:1
AMS_11E10:11E10 Forms over real fields:AMS_11Exx:1
AMS_11E12:11E12 Quadratic forms over global rings and fields:AMS_11Exx:1
AMS_11E16:11E16 General binary quadratic forms:AMS_11Exx:1
AMS_11E20:11E20 General ternary and quaternary quadratic forms; forms of more than two variables:AMS_11Exx:1
AMS_11E25:11E25 Sums of squares and representations by other particular quadratic forms:AMS_11Exx:1
AMS_11E39:11E39 Bilinear and Hermitian forms:AMS_11Exx:1
AMS_11E41:11E41 Class numbers of quadratic and Hermitian forms:AMS_11Exx:1
AMS_11E45:11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions):AMS_11Exx:1
AMS_11E57:11E57 Classical groups:AMS_11Exx:1
AMS_11E70:11E70 $K$-theory of quadratic and Hermitian forms:AMS_11Exx:1
AMS_11E72:11E72 Galois cohomology of linear algebraic groups:AMS_11Exx:1
AMS_11E76:11E76 Forms of degree higher than two:AMS_11Exx:1
AMS_11E81:11E81 Algebraic theory of quadratic forms; Witt groups and rings:AMS_11Exx:1
AMS_11E88:11E88 Quadratic spaces; Clifford algebras:AMS_11Exx:1
AMS_11E95:11E95 $p$-adic theory:AMS_11Exx:1
AMS_11E99:11E99 None of the above, but in this section:AMS_11Exx:1
AMS_11Fxx:11Fxx Discontinuous groups and automorphic forms:AMS_11:0
AMS_11F03:11F03 Modular and automorphic functions:AMS_11Fxx:1
AMS_11F06:11F06 Structure of modular groups and generalizations; arithmetic groups:AMS_11Fxx:1
AMS_11F11:11F11 Modular forms, one variable:AMS_11Fxx:1
AMS_11F12:11F12 Automorphic forms, one variable:AMS_11Fxx:1
AMS_11F20:11F20 Dedekind eta function, Dedekind sums:AMS_11Fxx:1
AMS_11F22:11F22 Relationship to Lie algebras and finite simple groups:AMS_11Fxx:1
AMS_11F23:11F23 Relations with algebraic geometry and topology:AMS_11Fxx:1
AMS_11F25:11F25 Hecke-Petersson operators, differential operators (one variable):AMS_11Fxx:1
AMS_11F27:11F27 Theta series; Weil representation:AMS_11Fxx:1
AMS_11F30:11F30 Fourier coefficients of automorphic forms:AMS_11Fxx:1
AMS_11F32:11F32 Modular correspondences, etc.:AMS_11Fxx:1
AMS_11F33:11F33 Congruences for modular and $p$-adic modular forms:AMS_11Fxx:1
AMS_11F37:11F37 Forms of half-integer weight; nonholomorphic modular forms:AMS_11Fxx:1
AMS_11F41:11F41 Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces:AMS_11Fxx:1
AMS_11F46:11F46 Siegel modular groups and their modular and automorphic forms:AMS_11Fxx:1
AMS_11F50:11F50 Jacobi forms:AMS_11Fxx:1
AMS_11F52:11F52 Modular forms associated to Drinfel'd modules:AMS_11Fxx:1
AMS_11F55:11F55 Other groups and their modular and automorphic forms (several variables):AMS_11Fxx:1
AMS_11F60:11F60 Hecke-Petersson operators, differential operators (several variables):AMS_11Fxx:1
AMS_11F66:11F66 Dirichlet series and functional equations in connection with modular forms:AMS_11Fxx:1
AMS_11F67:11F67 Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols:AMS_11Fxx:1
AMS_11F70:11F70 Representation-theoretic methods; automorphic representations over local and global fields:AMS_11Fxx:1
AMS_11F72:11F72 Spectral theory; Selberg trace formula:AMS_11Fxx:1
AMS_11F75:11F75 Cohomology of arithmetic groups:AMS_11Fxx:1
AMS_11F80:11F80 Galois representations:AMS_11Fxx:1
AMS_11F85:11F85 $p$-adic theory, local fields:AMS_11Fxx:1
AMS_11F99:11F99 None of the above, but in this section:AMS_11Fxx:1
AMS_11Gxx:11Gxx Arithmetic algebraic geometry (Diophantine geometry):AMS_11:0
AMS_11G05:11G05 Elliptic curves over global fields:AMS_11Gxx:1
AMS_11G07:11G07 Elliptic curves over local fields:AMS_11Gxx:1
AMS_11G09:11G09 Drinfeld modules; higher-dimensional motives, etc.:AMS_11Gxx:1
AMS_11G10:11G10 Abelian varieties of dimension $\gtr 1$:AMS_11Gxx:1
AMS_11G15:11G15 Complex multiplication and moduli of abelian varieties:AMS_11Gxx:1
AMS_11G16:11G16 Elliptic and modular units:AMS_11Gxx:1
AMS_11G18:11G18 Arithmetic aspects of modular and Shimura varieties:AMS_11Gxx:1
AMS_11G20:11G20 Curves over finite and local fields:AMS_11Gxx:1
AMS_11G25:11G25 Varieties over finite and local fields:AMS_11Gxx:1
AMS_11G30:11G30 Curves of arbitrary genus or genus $\ne 1$ over global fields:AMS_11Gxx:1
AMS_11G35:11G35 Varieties over global fields:AMS_11Gxx:1
AMS_11G40:11G40 $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture:AMS_11Gxx:1
AMS_11G45:11G45 Geometric class field theory:AMS_11Gxx:1
AMS_11G50:11G50 Heights:AMS_11Gxx:1
AMS_11G55:11G55 Polylogarithms and relations with $K$-theory:AMS_11Gxx:1
AMS_11G99:11G99 None of the above, but in this section:AMS_11Gxx:1
AMS_11Hxx:11Hxx Geometry of numbers:AMS_11:0
AMS_11H06:11H06 Lattices and convex bodies:AMS_11Hxx:1
AMS_11H16:11H16 Nonconvex bodies:AMS_11Hxx:1
AMS_11H31:11H31 Lattice packing and covering:AMS_11Hxx:1
AMS_11H46:11H46 Products of linear forms:AMS_11Hxx:1
AMS_11H50:11H50 Minima of forms:AMS_11Hxx:1
AMS_11H55:11H55 Quadratic forms (reduction theory, extreme forms, etc.):AMS_11Hxx:1
AMS_11H56:11H56 Automorphism groups of lattices:AMS_11Hxx:1
AMS_11H60:11H60 Mean value and transfer theorems:AMS_11Hxx:1
AMS_11H71:11H71 Relations with coding theory:AMS_11Hxx:1
AMS_11H99:11H99 None of the above, but in this section:AMS_11Hxx:1
AMS_11Jxx:11Jxx Diophantine approximation, transcendental number theory:AMS_11:0
AMS_11J04:11J04 Homogeneous approximation to one number:AMS_11Jxx:1
AMS_11J06:11J06 Markov and Lagrange spectra and generalizations:AMS_11Jxx:1
AMS_11J13:11J13 Simultaneous homogeneous approximation, linear forms:AMS_11Jxx:1
AMS_11J17:11J17 Approximation by numbers from a fixed field:AMS_11Jxx:1
AMS_11J20:11J20 Inhomogeneous linear forms:AMS_11Jxx:1
AMS_11J25:11J25 Diophantine inequalities:AMS_11Jxx:1
AMS_11J54:11J54 Small fractional parts of polynomials and generalizations:AMS_11Jxx:1
AMS_11J61:11J61 Approximation in non-Archimedean valuations:AMS_11Jxx:1
AMS_11J68:11J68 Approximation to algebraic numbers:AMS_11Jxx:1
AMS_11J70:11J70 Continued fractions and generalizations:AMS_11Jxx:1
AMS_11J71:11J71 Distribution modulo one:AMS_11Jxx:1
AMS_11J72:11J72 Irrationality; linear independence over a field:AMS_11Jxx:1
AMS_11J81:11J81 Transcendence (general theory):AMS_11Jxx:1
AMS_11J82:11J82 Measures of irrationality and of transcendence:AMS_11Jxx:1
AMS_11J83:11J83 Metric theory:AMS_11Jxx:1
AMS_11J85:11J85 Algebraic independence; Gelfond's method:AMS_11Jxx:1
AMS_11J86:11J86 Linear forms in logarithms; Baker's method:AMS_11Jxx:1
AMS_11J89:11J89 Transcendence theory of elliptic and abelian functions:AMS_11Jxx:1
AMS_11J91:11J91 Transcendence theory of other special functions:AMS_11Jxx:1
AMS_11J93:11J93 Transcendence theory of Drinfel'd and $t$-modules:AMS_11Jxx:1
AMS_11J95:11J95 Results involving abelian varieties:AMS_11Jxx:1
AMS_11J97:11J97 Analogues of methods in Nevanlinna theory (work of Vojta et al.):AMS_11Jxx:1
AMS_11J99:11J99 None of the above, but in this section:AMS_11Jxx:1
AMS_11Kxx:11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms:AMS_11:0
AMS_11K06:11K06 General theory of distribution modulo $1$:AMS_11Kxx:1
AMS_11K16:11K16 Normal numbers, radix expansions, etc.:AMS_11Kxx:1
AMS_11K31:11K31 Special sequences:AMS_11Kxx:1
AMS_11K36:11K36 Well-distributed sequences and other variations:AMS_11Kxx:1
AMS_11K38:11K38 Irregularities of distribution, discrepancy:AMS_11Kxx:1
AMS_11K41:11K41 Continuous, $p$-adic and abstract analogues:AMS_11Kxx:1
AMS_11K45:11K45 Pseudo-random numbers; Monte Carlo methods:AMS_11Kxx:1
AMS_11K50:11K50 Metric theory of continued fractions:AMS_11Kxx:1
AMS_11K55:11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension:AMS_11Kxx:1
AMS_11K60:11K60 Diophantine approximation:AMS_11Kxx:1
AMS_11K65:11K65 Arithmetic functions:AMS_11Kxx:1
AMS_11K70:11K70 Harmonic analysis and almost periodicity:AMS_11Kxx:1
AMS_11K99:11K99 None of the above, but in this section:AMS_11Kxx:1
AMS_11Lxx:11Lxx Exponential sums and character sums:AMS_11:0
AMS_11L03:11L03 Trigonometric and exponential sums, general:AMS_11Lxx:1
AMS_11L05:11L05 Gauss and Kloosterman sums; generalizations:AMS_11Lxx:1
AMS_11L07:11L07 Estimates on exponential sums:AMS_11Lxx:1
AMS_11L10:11L10 Jacobsthal and Brewer sums; other complete character sums:AMS_11Lxx:1
AMS_11L15:11L15 Weyl sums:AMS_11Lxx:1
AMS_11L20:11L20 Sums over primes:AMS_11Lxx:1
AMS_11L26:11L26 Sums over arbitrary intervals:AMS_11Lxx:1
AMS_11L40:11L40 Estimates on character sums:AMS_11Lxx:1
AMS_11L99:11L99 None of the above, but in this section:AMS_11Lxx:1
AMS_11Mxx:11Mxx Zeta and $L$-functions: analytic theory:AMS_11:0
AMS_11M06:11M06 $\zeta (s)$ and $L(s, \chi)$:AMS_11Mxx:1
AMS_11M20:11M20 Real zeros of $L(s, \chi)$; results on $L(1, \chi)$:AMS_11Mxx:1
AMS_11M26:11M26 Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses:AMS_11Mxx:1
AMS_11M35:11M35 Hurwitz and Lerch zeta functions:AMS_11Mxx:1
AMS_11M36:11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas:AMS_11Mxx:1
AMS_11M38:11M38 Zeta and $L$-functions in characteristic $p$:AMS_11Mxx:1
AMS_11M41:11M41 Other Dirichlet series and zeta functions:AMS_11Mxx:1
AMS_11M45:11M45 Tauberian theorems:AMS_11Mxx:1
AMS_11M99:11M99 None of the above, but in this section:AMS_11Mxx:1
AMS_11Nxx:11Nxx Multiplicative number theory:AMS_11:0
AMS_11N05:11N05 Distribution of primes:AMS_11Nxx:1
AMS_11N13:11N13 Primes in progressions:AMS_11Nxx:1
AMS_11N25:11N25 Distribution of integers with specified multiplicative constraints:AMS_11Nxx:1
AMS_11N30:11N30 Turán theory:AMS_11Nxx:1
AMS_11N32:11N32 Primes represented by polynomials; other multiplicative structure of polynomial values:AMS_11Nxx:1
AMS_11N35:11N35 Sieves:AMS_11Nxx:1
AMS_11N36:11N36 Applications of sieve methods:AMS_11Nxx:1
AMS_11N37:11N37 Asymptotic results on arithmetic functions:AMS_11Nxx:1
AMS_11N45:11N45 Asymptotic results on counting functions for algebraic and topological structures:AMS_11Nxx:1
AMS_11N56:11N56 Rate of growth of arithmetic functions:AMS_11Nxx:1
AMS_11N60:11N60 Distribution functions associated with additive and positive multiplicative functions:AMS_11Nxx:1
AMS_11N64:11N64 Other results on the distribution of values or the characterization of arithmetic functions:AMS_11Nxx:1
AMS_11N69:11N69 Distribution of integers in special residue classes:AMS_11Nxx:1
AMS_11N75:11N75 Applications of automorphic functions and forms to multiplicative problems:AMS_11Nxx:1
AMS_11N80:11N80 Generalized primes and integers:AMS_11Nxx:1
AMS_11N99:11N99 None of the above, but in this section:AMS_11Nxx:1
AMS_11Pxx:11Pxx Additive number theory; partitions:AMS_11:0
AMS_11P05:11P05 Waring's problem and variants:AMS_11Pxx:1
AMS_11P21:11P21 Lattice points in specified regions:AMS_11Pxx:1
AMS_11P32:11P32 Goldbach-type theorems; other additive questions involving primes:AMS_11Pxx:1
AMS_11P55:11P55 Applications of the Hardy-Littlewood method:AMS_11Pxx:1
AMS_11P70:11P70 Inverse problems of additive number theory:AMS_11Pxx:1
AMS_11P81:11P81 Elementary theory of partitions:AMS_11Pxx:1
AMS_11P82:11P82 Analytic theory of partitions:AMS_11Pxx:1
AMS_11P83:11P83 Partitions; congruences and congruential restrictions:AMS_11Pxx:1
AMS_11P99:11P99 None of the above, but in this section:AMS_11Pxx:1
AMS_11Rxx:11Rxx Algebraic number theory: global fields:AMS_11:0
AMS_11R04:11R04 Algebraic numbers; rings of algebraic integers:AMS_11Rxx:1
AMS_11R06:11R06 PV-numbers and generalizations; other special algebraic numbers:AMS_11Rxx:1
AMS_11R09:11R09 Polynomials (irreducibility, etc.):AMS_11Rxx:1
AMS_11R11:11R11 Quadratic extensions:AMS_11Rxx:1
AMS_11R16:11R16 Cubic and quartic extensions:AMS_11Rxx:1
AMS_11R18:11R18 Cyclotomic extensions:AMS_11Rxx:1
AMS_11R20:11R20 Other abelian and metabelian extensions:AMS_11Rxx:1
AMS_11R21:11R21 Other number fields:AMS_11Rxx:1
AMS_11R23:11R23 Iwasawa theory:AMS_11Rxx:1
AMS_11R27:11R27 Units and factorization:AMS_11Rxx:1
AMS_11R29:11R29 Class numbers, class groups, discriminants:AMS_11Rxx:1
AMS_11R32:11R32 Galois theory:AMS_11Rxx:1
AMS_11R33:11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers:AMS_11Rxx:1
AMS_11R34:11R34 Galois cohomology:AMS_11Rxx:1
AMS_11R37:11R37 Class field theory:AMS_11Rxx:1
AMS_11R39:11R39 Langlands-Weil conjectures, nonabelian class field theory:AMS_11Rxx:1
AMS_11R42:11R42 Zeta functions and $L$-functions of number fields:AMS_11Rxx:1
AMS_11R44:11R44 Distribution of prime ideals:AMS_11Rxx:1
AMS_11R45:11R45 Density theorems:AMS_11Rxx:1
AMS_11R47:11R47 Other analytic theory:AMS_11Rxx:1
AMS_11R52:11R52 Quaternion and other division algebras: arithmetic, zeta functions:AMS_11Rxx:1
AMS_11R54:11R54 Other algebras and orders, and their zeta and $L$-functions:AMS_11Rxx:1
AMS_11R56:11R56 Adèle rings and groups:AMS_11Rxx:1
AMS_11R58:11R58 Arithmetic theory of algebraic function fields:AMS_11Rxx:1
AMS_11R60:11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.):AMS_11Rxx:1
AMS_11R65:11R65 Class groups and Picard groups of orders:AMS_11Rxx:1
AMS_11R70:11R70 $K$-theory of global fields:AMS_11Rxx:1
AMS_11R80:11R80 Totally real and totally positive fields:AMS_11Rxx:1
AMS_11R99:11R99 None of the above, but in this section:AMS_11Rxx:1
AMS_11Sxx:11Sxx Algebraic number theory: local and $p$-adic fields:AMS_11:0
AMS_11S05:11S05 Polynomials:AMS_11Sxx:1
AMS_11S15:11S15 Ramification and extension theory:AMS_11Sxx:1
AMS_11S20:11S20 Galois theory:AMS_11Sxx:1
AMS_11S23:11S23 Integral representations:AMS_11Sxx:1
AMS_11S25:11S25 Galois cohomology:AMS_11Sxx:1
AMS_11S31:11S31 Class field theory; $p$-adic formal groups:AMS_11Sxx:1
AMS_11S37:11S37 Langlands-Weil conjectures, nonabelian class field theory:AMS_11Sxx:1
AMS_11S40:11S40 Zeta functions and $L$-functions:AMS_11Sxx:1
AMS_11S45:11S45 Algebras and orders, and their zeta functions:AMS_11Sxx:1
AMS_11S70:11S70 $K$-theory of local fields:AMS_11Sxx:1
AMS_11S80:11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.):AMS_11Sxx:1
AMS_11S85:11S85 Other nonanalytic theory:AMS_11Sxx:1
AMS_11S90:11S90 Prehomogeneous vector spaces:AMS_11Sxx:1
AMS_11S99:11S99 None of the above, but in this section:AMS_11Sxx:1
AMS_11Txx:11Txx Finite fields and commutative rings (number-theoretic aspects):AMS_11:0
AMS_11T06:11T06 Polynomials:AMS_11Txx:1
AMS_11T22:11T22 Cyclotomy:AMS_11Txx:1
AMS_11T23:11T23 Exponential sums:AMS_11Txx:1
AMS_11T24:11T24 Other character sums and Gauss sums:AMS_11Txx:1
AMS_11T30:11T30 Structure theory:AMS_11Txx:1
AMS_11T55:11T55 Arithmetic theory of polynomial rings over finite fields:AMS_11Txx:1
AMS_11T60:11T60 Finite upper half-planes:AMS_11Txx:1
AMS_11T71:11T71 Algebraic coding theory; cryptography:AMS_11Txx:1
AMS_11T99:11T99 None of the above, but in this section:AMS_11Txx:1
AMS_11Uxx:11Uxx Connections with logic:AMS_11:0
AMS_11U05:11U05 Decidability:AMS_11Uxx:1
AMS_11U07:11U07 Ultraproducts:AMS_11Uxx:1
AMS_11U09:11U09 Model theory:AMS_11Uxx:1
AMS_11U10:11U10 Nonstandard arithmetic:AMS_11Uxx:1
AMS_11U99:11U99 None of the above, but in this section:AMS_11Uxx:1
AMS_11Yxx:11Yxx Computational number theory:AMS_11:0
AMS_11Y05:11Y05 Factorization:AMS_11Yxx:1
AMS_11Y11:11Y11 Primality:AMS_11Yxx:1
AMS_11Y16:11Y16 Algorithms; complexity:AMS_11Yxx:1
AMS_11Y35:11Y35 Analytic computations:AMS_11Yxx:1
AMS_11Y40:11Y40 Algebraic number theory computations:AMS_11Yxx:1
AMS_11Y50:11Y50 Computer solution of Diophantine equations:AMS_11Yxx:1
AMS_11Y55:11Y55 Calculation of integer sequences:AMS_11Yxx:1
AMS_11Y60:11Y60 Evaluation of constants:AMS_11Yxx:1
AMS_11Y65:11Y65 Continued fraction calculations:AMS_11Yxx:1
AMS_11Y70:11Y70 Values of arithmetic functions; tables:AMS_11Yxx:1
AMS_11Y99:11Y99 None of the above, but in this section:AMS_11Yxx:1
AMS_12:12-XX Field theory and polynomials:AMS_1:0
AMS_12Dxx:12Dxx Real and complex fields:AMS_12:0
AMS_12D05:12D05 Polynomials: factorization:AMS_12Dxx:1
AMS_12D10:12D10 Polynomials: location of zeros (algebraic theorems):AMS_12Dxx:1
AMS_12D15:12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.):AMS_12Dxx:1
AMS_12D99:12D99 None of the above, but in this section:AMS_12Dxx:1
AMS_12Exx:12Exx General field theory:AMS_12:0
AMS_12E05:12E05 Polynomials (irreducibility, etc.):AMS_12Exx:1
AMS_12E10:12E10 Special polynomials:AMS_12Exx:1
AMS_12E12:12E12 Equations:AMS_12Exx:1
AMS_12E15:12E15 Skew fields, division rings:AMS_12Exx:1
AMS_12E20:12E20 Finite fields (field-theoretic aspects):AMS_12Exx:1
AMS_12E25:12E25 Hilbertian fields; Hilbert's irreducibility theorem:AMS_12Exx:1
AMS_12E30:12E30 Field arithmetic:AMS_12Exx:1
AMS_12E99:12E99 None of the above, but in this section:AMS_12Exx:1
AMS_12Fxx:12Fxx Field extensions:AMS_12:0
AMS_12F05:12F05 Algebraic extensions:AMS_12Fxx:1
AMS_12F10:12F10 Separable extensions, Galois theory:AMS_12Fxx:1
AMS_12F12:12F12 Inverse Galois theory:AMS_12Fxx:1
AMS_12F15:12F15 Inseparable extensions:AMS_12Fxx:1
AMS_12F20:12F20 Transcendental extensions:AMS_12Fxx:1
AMS_12F99:12F99 None of the above, but in this section:AMS_12Fxx:1
AMS_12Gxx:12Gxx Homological methods (field theory):AMS_12:0
AMS_12G05:12G05 Galois cohomology:AMS_12Gxx:1
AMS_12G10:12G10 Cohomological dimension:AMS_12Gxx:1
AMS_12G99:12G99 None of the above, but in this section:AMS_12Gxx:1
AMS_12Hxx:12Hxx Differential and difference algebra:AMS_12:0
AMS_12H05:12H05 Differential algebra:AMS_12Hxx:1
AMS_12H10:12H10 Difference algebra:AMS_12Hxx:1
AMS_12H20:12H20 Abstract differential equations:AMS_12Hxx:1
AMS_12H25:12H25 $p$-adic differential equations:AMS_12Hxx:1
AMS_12H99:12H99 None of the above, but in this section:AMS_12Hxx:1
AMS_12Jxx:12Jxx Topological fields:AMS_12:0
AMS_12J05:12J05 Normed fields:AMS_12Jxx:1
AMS_12J10:12J10 Valued fields:AMS_12Jxx:1
AMS_12J12:12J12 Formally $p$-adic fields:AMS_12Jxx:1
AMS_12J15:12J15 Ordered fields:AMS_12Jxx:1
AMS_12J17:12J17 Topological semifields:AMS_12Jxx:1
AMS_12J20:12J20 General valuation theory:AMS_12Jxx:1
AMS_12J25:12J25 Non-Archimedean valued fields:AMS_12Jxx:1
AMS_12J27:12J27 Krasner-Tate algebras:AMS_12Jxx:1
AMS_12J99:12J99 None of the above, but in this section:AMS_12Jxx:1
AMS_12Kxx:12Kxx Generalizations of fields:AMS_12:0
AMS_12K05:12K05 Near-fields:AMS_12Kxx:1
AMS_12K10:12K10 Semifields:AMS_12Kxx:1
AMS_12K99:12K99 None of the above, but in this section:AMS_12Kxx:1
AMS_12Lxx:12Lxx Connections with logic:AMS_12:0
AMS_12L05:12L05 Decidability:AMS_12Lxx:1
AMS_12L10:12L10 Ultraproducts:AMS_12Lxx:1
AMS_12L12:12L12 Model theory:AMS_12Lxx:1
AMS_12L15:12L15 Nonstandard arithmetic:AMS_12Lxx:1
AMS_12L99:12L99 None of the above, but in this section:AMS_12Lxx:1
AMS_13:13-XX Commutative rings and algebras:AMS_1:0
AMS_13Axx:13Axx General commutative ring theory:AMS_13:0
AMS_13A02:13A02 Graded rings:AMS_13Axx:1
AMS_13A05:13A05 Divisibility:AMS_13Axx:1
AMS_13A10:13A10 Radical theory:AMS_13Axx:1
AMS_13A15:13A15 Ideals; multiplicative ideal theory:AMS_13Axx:1
AMS_13A18:13A18 Valuations and their generalizations:AMS_13Axx:1
AMS_13A30:13A30 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics:AMS_13Axx:1
AMS_13A35:13A35 Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure:AMS_13Axx:1
AMS_13A50:13A50 Actions of groups on commutative rings; invariant theory:AMS_13Axx:1
AMS_13A99:13A99 None of the above, but in this section:AMS_13Axx:1
AMS_13Bxx:13Bxx Ring extensions and related topics:AMS_13:0
AMS_13B02:13B02 Extension theory:AMS_13Bxx:1
AMS_13B05:13B05 Galois theory:AMS_13Bxx:1
AMS_13B10:13B10 Morphisms:AMS_13Bxx:1
AMS_13B21:13B21 Integral dependence:AMS_13Bxx:1
AMS_13B22:13B22 Integral closure of rings and ideals:AMS_13Bxx:1
AMS_13B24:13B24 Going up; going down; going between:AMS_13Bxx:1
AMS_13B25:13B25 Polynomials over commutative rings:AMS_13Bxx:1
AMS_13B30:13B30 Quotients and localization:AMS_13Bxx:1
AMS_13B35:13B35 Completion:AMS_13Bxx:1
AMS_13B40:13B40 Étale and flat extensions; Henselization; Artin approximation:AMS_13Bxx:1
AMS_13B99:13B99 None of the above, but in this section:AMS_13Bxx:1
AMS_13Cxx:13Cxx Theory of modules and ideals:AMS_13:0
AMS_13C05:13C05 Structure, classification theorems:AMS_13Cxx:1
AMS_13C10:13C10 Projective and free modules and ideals:AMS_13Cxx:1
AMS_13C11:13C11 Injective and flat modules and ideals:AMS_13Cxx:1
AMS_13C12:13C12 Torsion modules and ideals:AMS_13Cxx:1
AMS_13C13:13C13 Other special types:AMS_13Cxx:1
AMS_13C14:13C14 Cohen-Macaulay modules:AMS_13Cxx:1
AMS_13C15:13C15 Dimension theory, depth, related rings (catenary, etc.):AMS_13Cxx:1
AMS_13C20:13C20 Class groups:AMS_13Cxx:1
AMS_13C40:13C40 Linkage, complete intersections and determinantal ideals:AMS_13Cxx:1
AMS_13C99:13C99 None of the above, but in this section:AMS_13Cxx:1
AMS_13Dxx:13Dxx Homological methods:AMS_13:0
AMS_13D02:13D02 Syzygies and resolutions:AMS_13Dxx:1
AMS_13D03:13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.):AMS_13Dxx:1
AMS_13D05:13D05 Homological dimension:AMS_13Dxx:1
AMS_13D07:13D07 Homological functors on modules (Tor, Ext, etc.):AMS_13Dxx:1
AMS_13D10:13D10 Deformations and infinitesimal methods:AMS_13Dxx:1
AMS_13D15:13D15 Grothendieck groups, $K$-theory:AMS_13Dxx:1
AMS_13D22:13D22 Homological conjectures (intersection theorems):AMS_13Dxx:1
AMS_13D25:13D25 Complexes:AMS_13Dxx:1
AMS_13D30:13D30 Torsion theory:AMS_13Dxx:1
AMS_13D40:13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series:AMS_13Dxx:1
AMS_13D45:13D45 Local cohomology:AMS_13Dxx:1
AMS_13D99:13D99 None of the above, but in this section:AMS_13Dxx:1
AMS_13Exx:13Exx Chain conditions, finiteness conditions:AMS_13:0
AMS_13E05:13E05 Noetherian rings and modules:AMS_13Exx:1
AMS_13E10:13E10 Artinian rings and modules, finite-dimensional algebras:AMS_13Exx:1
AMS_13E15:13E15 Rings and modules of finite generation or presentation; number of generators:AMS_13Exx:1
AMS_13E99:13E99 None of the above, but in this section:AMS_13Exx:1
AMS_13Fxx:13Fxx Arithmetic rings and other special rings:AMS_13:0
AMS_13F05:13F05 Dedekind, Prüfer and Krull rings and their generalizations:AMS_13Fxx:1
AMS_13F07:13F07 Euclidean rings and generalizations:AMS_13Fxx:1
AMS_13F10:13F10 Principal ideal rings:AMS_13Fxx:1
AMS_13F15:13F15 Factorial rings, unique factorization domains:AMS_13Fxx:1
AMS_13F20:13F20 Polynomial rings and ideals; rings of integer-valued polynomials:AMS_13Fxx:1
AMS_13F25:13F25 Formal power series rings:AMS_13Fxx:1
AMS_13F30:13F30 Valuation rings:AMS_13Fxx:1
AMS_13F40:13F40 Excellent rings:AMS_13Fxx:1
AMS_13F45:13F45 Seminormal rings:AMS_13Fxx:1
AMS_13F50:13F50 Rings with straightening laws, Hodge algebras:AMS_13Fxx:1
AMS_13F55:13F55 Face and Stanley-Reisner rings; simplicial complexes:AMS_13Fxx:1
AMS_13F99:13F99 None of the above, but in this section:AMS_13Fxx:1
AMS_13Hxx:13Hxx Local rings and semilocal rings:AMS_13:0
AMS_13H05:13H05 Regular local rings:AMS_13Hxx:1
AMS_13H10:13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.):AMS_13Hxx:1
AMS_13H15:13H15 Multiplicity theory and related topics:AMS_13Hxx:1
AMS_13H99:13H99 None of the above, but in this section:AMS_13Hxx:1
AMS_13Jxx:13Jxx Topological rings and modules:AMS_13:0
AMS_13J05:13J05 Power series rings:AMS_13Jxx:1
AMS_13J07:13J07 Analytical algebras and rings:AMS_13Jxx:1
AMS_13J10:13J10 Complete rings, completion:AMS_13Jxx:1
AMS_13J15:13J15 Henselian rings:AMS_13Jxx:1
AMS_13J20:13J20 Global topological rings:AMS_13Jxx:1
AMS_13J25:13J25 Ordered rings:AMS_13Jxx:1
AMS_13J30:13J30 Real algebra:AMS_13Jxx:1
AMS_13J99:13J99 None of the above, but in this section:AMS_13Jxx:1
AMS_13Mxx:13Mxx Finite commutative rings:AMS_13:0
AMS_13M05:13M05 Structure:AMS_13Mxx:1
AMS_13M10:13M10 Polynomials:AMS_13Mxx:1
AMS_13M99:13M99 None of the above, but in this section:AMS_13Mxx:1
AMS_13Nxx:13Nxx Differential algebra:AMS_13:0
AMS_13N05:13N05 Modules of differentials:AMS_13Nxx:1
AMS_13N10:13N10 Rings of differential operators and their modules:AMS_13Nxx:1
AMS_13N15:13N15 Derivations:AMS_13Nxx:1
AMS_13N99:13N99 None of the above, but in this section:AMS_13Nxx:1
AMS_13Pxx:13Pxx Computational aspects of commutative algebra:AMS_13:0
AMS_13P05:13P05 Polynomials, factorization:AMS_13Pxx:1
AMS_13P10:13P10 Polynomial ideals, Gröbner bases:AMS_13Pxx:1
AMS_13P99:13P99 None of the above, but in this section:AMS_13Pxx:1
AMS_14:14-XX Algebraic geometry:AMS_1:0
AMS_14Axx:14Axx Foundations:AMS_14:0
AMS_14A05:14A05 Relevant commutative algebra:AMS_14Axx:1
AMS_14A10:14A10 Varieties and morphisms:AMS_14Axx:1
AMS_14A15:14A15 Schemes and morphisms:AMS_14Axx:1
AMS_14A20:14A20 Generalizations (algebraic spaces, stacks):AMS_14Axx:1
AMS_14A22:14A22 Noncommutative algebraic geometry:AMS_14Axx:1
AMS_14A25:14A25 Elementary questions:AMS_14Axx:1
AMS_14A99:14A99 None of the above, but in this section:AMS_14Axx:1
AMS_14Bxx:14Bxx Local theory:AMS_14:0
AMS_14B05:14B05 Singularities:AMS_14Bxx:1
AMS_14B07:14B07 Deformations of singularities:AMS_14Bxx:1
AMS_14B10:14B10 Infinitesimal methods:AMS_14Bxx:1
AMS_14B12:14B12 Local deformation theory, Artin approximation, etc.:AMS_14Bxx:1
AMS_14B15:14B15 Local cohomology:AMS_14Bxx:1
AMS_14B20:14B20 Formal neighborhoods:AMS_14Bxx:1
AMS_14B25:14B25 Local structure of morphisms: étale, flat, etc.:AMS_14Bxx:1
AMS_14B99:14B99 None of the above, but in this section:AMS_14Bxx:1
AMS_14Cxx:14Cxx Cycles and subschemes:AMS_14:0
AMS_14C05:14C05 Parametrization (Chow and Hilbert schemes):AMS_14Cxx:1
AMS_14C15:14C15 Chow groups and rings:AMS_14Cxx:1
AMS_14C17:14C17 Intersection theory, characteristic classes, intersection multiplicities:AMS_14Cxx:1
AMS_14C20:14C20 Divisors, linear systems, invertible sheaves:AMS_14Cxx:1
AMS_14C21:14C21 Pencils, nets, webs:AMS_14Cxx:1
AMS_14C22:14C22 Picard groups:AMS_14Cxx:1
AMS_14C25:14C25 Algebraic cycles:AMS_14Cxx:1
AMS_14C30:14C30 Transcendental methods, Hodge theory:AMS_14Cxx:1
AMS_14C34:14C34 Torelli problem:AMS_14Cxx:1
AMS_14C35:14C35 Applications of methods of algebraic $K$-theory:AMS_14Cxx:1
AMS_14C40:14C40 Riemann-Roch theorems:AMS_14Cxx:1
AMS_14C99:14C99 None of the above, but in this section:AMS_14Cxx:1
AMS_14Dxx:14Dxx Families, fibrations:AMS_14:0
AMS_14D05:14D05 Structure of families (Picard-Lefschetz,  monodromy, etc.):AMS_14Dxx:1
AMS_14D06:14D06 Fibrations, degenerations:AMS_14Dxx:1
AMS_14D07:14D07 Variation of Hodge structures:AMS_14Dxx:1
AMS_14D10:14D10 Arithmetic ground fields (finite, local, global):AMS_14Dxx:1
AMS_14D15:14D15 Formal methods; deformations:AMS_14Dxx:1
AMS_14D20:14D20 Algebraic moduli problems, moduli of vector bundles:AMS_14Dxx:1
AMS_14D21:14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory):AMS_14Dxx:1
AMS_14D22:14D22 Fine and coarse moduli spaces:AMS_14Dxx:1
AMS_14D99:14D99 None of the above, but in this section:AMS_14Dxx:1
AMS_14Exx:14Exx Birational geometry:AMS_14:0
AMS_14E05:14E05 Rational and birational maps:AMS_14Exx:1
AMS_14E07:14E07 Birational automorphisms, Cremona group and generalizations:AMS_14Exx:1
AMS_14E08:14E08 Rationality questions:AMS_14Exx:1
AMS_14E15:14E15 Global theory and resolution of singularities:AMS_14Exx:1
AMS_14E20:14E20 Coverings:AMS_14Exx:1
AMS_14E22:14E22 Ramification problems:AMS_14Exx:1
AMS_14E25:14E25 Embeddings:AMS_14Exx:1
AMS_14E30:14E30 Minimal model program (Mori theory, extremal rays):AMS_14Exx:1
AMS_14E99:14E99 None of the above, but in this section:AMS_14Exx:1
AMS_14Fxx:14Fxx (Co)homology theory:AMS_14:0
AMS_14F05:14F05 Vector bundles, sheaves, related constructions:AMS_14Fxx:1
AMS_14F10:14F10 Differentials and other special sheaves:AMS_14Fxx:1
AMS_14F17:14F17 Vanishing theorems:AMS_14Fxx:1
AMS_14F20:14F20 Étale and other Grothendieck topologies and cohomologies:AMS_14Fxx:1
AMS_14F22:14F22 Brauer groups of schemes:AMS_14Fxx:1
AMS_14F25:14F25 Classical real and complex cohomology:AMS_14Fxx:1
AMS_14F30:14F30 $p$-adic cohomology, crystalline cohomology:AMS_14Fxx:1
AMS_14F35:14F35 Homotopy theory; fundamental groups:AMS_14Fxx:1
AMS_14F40:14F40 de Rham cohomology:AMS_14Fxx:1
AMS_14F42:14F42 Motivic cohomology:AMS_14Fxx:1
AMS_14F43:14F43 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies):AMS_14Fxx:1
AMS_14F45:14F45 Topological properties:AMS_14Fxx:1
AMS_14F99:14F99 None of the above, but in this section:AMS_14Fxx:1
AMS_14Gxx:14Gxx Arithmetic problems. Diophantine geometry:AMS_14:0
AMS_14G05:14G05 Rational points:AMS_14Gxx:1
AMS_14G10:14G10 Zeta-functions and related questions:AMS_14Gxx:1
AMS_14G15:14G15 Finite ground fields:AMS_14Gxx:1
AMS_14G20:14G20 Local ground fields:AMS_14Gxx:1
AMS_14G22:14G22 Rigid analytic geometry:AMS_14Gxx:1
AMS_14G25:14G25 Global ground fields:AMS_14Gxx:1
AMS_14G27:14G27 Other nonalgebraically closed ground fields:AMS_14Gxx:1
AMS_14G32:14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory):AMS_14Gxx:1
AMS_14G35:14G35 Modular and Shimura varieties:AMS_14Gxx:1
AMS_14G40:14G40 Arithmetic varieties and schemes; Arakelov theory; heights:AMS_14Gxx:1
AMS_14G50:14G50 Applications to coding theory and cryptography:AMS_14Gxx:1
AMS_14G99:14G99 None of the above, but in this section:AMS_14Gxx:1
AMS_14Hxx:14Hxx Curves:AMS_14:0
AMS_14H05:14H05 Algebraic functions; function fields:AMS_14Hxx:1
AMS_14H10:14H10 Families, moduli (algebraic):AMS_14Hxx:1
AMS_14H15:14H15 Families, moduli (analytic):AMS_14Hxx:1
AMS_14H20:14H20 Singularities, local rings:AMS_14Hxx:1
AMS_14H25:14H25 Arithmetic ground fields:AMS_14Hxx:1
AMS_14H30:14H30 Coverings, fundamental group:AMS_14Hxx:1
AMS_14H37:14H37 Automorphisms:AMS_14Hxx:1
AMS_14H40:14H40 Jacobians, Prym varieties:AMS_14Hxx:1
AMS_14H42:14H42 Theta functions; Schottky problem:AMS_14Hxx:1
AMS_14H45:14H45 Special curves and curves of low genus:AMS_14Hxx:1
AMS_14H50:14H50 Plane and space curves:AMS_14Hxx:1
AMS_14H51:14H51 Special divisors (gonality, Brill-Noether theory):AMS_14Hxx:1
AMS_14H52:14H52 Elliptic curves:AMS_14Hxx:1
AMS_14H55:14H55 Riemann surfaces; Weierstrass points; gap sequences:AMS_14Hxx:1
AMS_14H60:14H60 Vector bundles on curves and their moduli:AMS_14Hxx:1
AMS_14H70:14H70 Relationships with integrable systems:AMS_14Hxx:1
AMS_14H81:14H81 Relationships with physics:AMS_14Hxx:1
AMS_14H99:14H99 None of the above, but in this section:AMS_14Hxx:1
AMS_14Jxx:14Jxx Surfaces and higher-dimensional varieties:AMS_14:0
AMS_14J10:14J10 Families, moduli, classification: algebraic theory:AMS_14Jxx:1
AMS_14J15:14J15 Moduli, classification: analytic theory; relations with modular forms:AMS_14Jxx:1
AMS_14J17:14J17 Singularities:AMS_14Jxx:1
AMS_14J20:14J20 Arithmetic ground fields:AMS_14Jxx:1
AMS_14J25:14J25 Special surfaces:AMS_14Jxx:1
AMS_14J26:14J26 Rational and ruled surfaces:AMS_14Jxx:1
AMS_14J27:14J27 Elliptic surfaces:AMS_14Jxx:1
AMS_14J28:14J28 $K3$ surfaces and Enriques surfaces:AMS_14Jxx:1
AMS_14J29:14J29 Surfaces of general type:AMS_14Jxx:1
AMS_14J30:14J30 $3$-folds:AMS_14Jxx:1
AMS_14J32:14J32 Calabi-Yau manifolds, mirror symmetry:AMS_14Jxx:1
AMS_14J35:14J35 $4$-folds:AMS_14Jxx:1
AMS_14J40:14J40 $n$-folds ($n>4$):AMS_14Jxx:1
AMS_14J45:14J45 Fano varieties:AMS_14Jxx:1
AMS_14J50:14J50 Automorphisms of surfaces and higher-dimensional varieties:AMS_14Jxx:1
AMS_14J60:14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli:AMS_14Jxx:1
AMS_14J70:14J70 Hypersurfaces:AMS_14Jxx:1
AMS_14J80:14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants):AMS_14Jxx:1
AMS_14J81:14J81 Relationships with physics:AMS_14Jxx:1
AMS_14J99:14J99 None of the above, but in this section:AMS_14Jxx:1
AMS_14Kxx:14Kxx Abelian varieties and schemes:AMS_14:0
AMS_14K02:14K02 Isogeny:AMS_14Kxx:1
AMS_14K05:14K05 Algebraic theory:AMS_14Kxx:1
AMS_14K10:14K10 Algebraic moduli, classification:AMS_14Kxx:1
AMS_14K12:14K12 Subvarieties:AMS_14Kxx:1
AMS_14K15:14K15 Arithmetic ground fields:AMS_14Kxx:1
AMS_14K20:14K20 Analytic theory; abelian integrals and differentials:AMS_14Kxx:1
AMS_14K22:14K22 Complex multiplication:AMS_14Kxx:1
AMS_14K25:14K25 Theta functions:AMS_14Kxx:1
AMS_14K30:14K30 Picard schemes, higher Jacobians:AMS_14Kxx:1
AMS_14K99:14K99 None of the above, but in this section:AMS_14Kxx:1
AMS_14Lxx:14Lxx Algebraic groups:AMS_14:0
AMS_14L05:14L05 Formal groups, $p$-divisible groups:AMS_14Lxx:1
AMS_14L10:14L10 Group varieties:AMS_14Lxx:1
AMS_14L15:14L15 Group schemes:AMS_14Lxx:1
AMS_14L17:14L17 Affine algebraic groups, hyperalgebra constructions:AMS_14Lxx:1
AMS_14L24:14L24 Geometric invariant theory:AMS_14Lxx:1
AMS_14L30:14L30 Group actions on varieties or schemes (quotients):AMS_14Lxx:1
AMS_14L35:14L35 Classical groups (geometric aspects):AMS_14Lxx:1
AMS_14L40:14L40 Other algebraic groups (geometric aspects):AMS_14Lxx:1
AMS_14L99:14L99 None of the above, but in this section:AMS_14Lxx:1
AMS_14Mxx:14Mxx Special varieties:AMS_14:0
AMS_14M05:14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal):AMS_14Mxx:1
AMS_14M06:14M06 Linkage:AMS_14Mxx:1
AMS_14M07:14M07 Low codimension problems:AMS_14Mxx:1
AMS_14M10:14M10 Complete intersections:AMS_14Mxx:1
AMS_14M12:14M12 Determinantal varieties:AMS_14Mxx:1
AMS_14M15:14M15 Grassmannians, Schubert varieties, flag manifolds:AMS_14Mxx:1
AMS_14M17:14M17 Homogeneous spaces and generalizations:AMS_14Mxx:1
AMS_14M20:14M20 Rational and unirational varieties:AMS_14Mxx:1
AMS_14M25:14M25 Toric varieties, Newton polyhedra:AMS_14Mxx:1
AMS_14M30:14M30 Supervarieties:AMS_14Mxx:1
AMS_14M99:14M99 None of the above, but in this section:AMS_14Mxx:1
AMS_14Nxx:14Nxx Projective and enumerative geometry:AMS_14:0
AMS_14N05:14N05 Projective techniques:AMS_14Nxx:1
AMS_14N10:14N10 Enumerative problems (combinatorial problems):AMS_14Nxx:1
AMS_14N15:14N15 Classical problems, Schubert calculus:AMS_14Nxx:1
AMS_14N20:14N20 Configurations of linear subspaces:AMS_14Nxx:1
AMS_14N25:14N25 Varieties of low degree:AMS_14Nxx:1
AMS_14N30:14N30 Adjunction problems:AMS_14Nxx:1
AMS_14N35:14N35 Gromov-Witten invariants, quantum cohomology:AMS_14Nxx:1
AMS_14N99:14N99 None of the above, but in this section:AMS_14Nxx:1
AMS_14Pxx:14Pxx Real algebraic and real analytic geometry:AMS_14:0
AMS_14P05:14P05 Real algebraic sets:AMS_14Pxx:1
AMS_14P10:14P10 Semialgebraic sets and related spaces:AMS_14Pxx:1
AMS_14P15:14P15 Real analytic and semianalytic sets:AMS_14Pxx:1
AMS_14P20:14P20 Nash functions and manifolds:AMS_14Pxx:1
AMS_14P25:14P25 Topology of real algebraic varieties:AMS_14Pxx:1
AMS_14P99:14P99 None of the above, but in this section:AMS_14Pxx:1
AMS_14Qxx:14Qxx Computational aspects in algebraic geometry:AMS_14:0
AMS_14Q05:14Q05 Curves:AMS_14Qxx:1
AMS_14Q10:14Q10 Surfaces, hypersurfaces:AMS_14Qxx:1
AMS_14Q15:14Q15 Higher-dimensional varieties:AMS_14Qxx:1
AMS_14Q20:14Q20 Effectivity:AMS_14Qxx:1
AMS_14Q99:14Q99 None of the above, but in this section:AMS_14Qxx:1
AMS_14Rxx:14Rxx Affine geometry:AMS_14:0
AMS_14R05:14R05 Classification of affine varieties:AMS_14Rxx:1
AMS_14R10:14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem):AMS_14Rxx:1
AMS_14R15:14R15 Jacobian problem:AMS_14Rxx:1
AMS_14R20:14R20 Group actions on affine varieties:AMS_14Rxx:1
AMS_14R25:14R25 Affine fibrations:AMS_14Rxx:1
AMS_14R99:14R99 None of the above, but in this section:AMS_14Rxx:1
AMS_15:15-XX Linear and multilinear algebra; matrix theory:AMS_1:0
AMS_16:16-XX Associative rings and algebras:AMS_1:0
AMS_16Bxx:16Bxx General and miscellaneous:AMS_16:0
AMS_16B50:16B50 Category-theoretic methods and results (except as in <A HREF="http:16Dxx.html">16D90</A>):AMS_16Bxx:1
AMS_16B70:16B70 Applications of logic:AMS_16Bxx:1
AMS_16B99:16B99 None of the above, but in this section:AMS_16Bxx:1
AMS_16Dxx:16Dxx Modules, bimodules and ideals:AMS_16:0
AMS_16D10:16D10 General module theory:AMS_16Dxx:1
AMS_16D20:16D20 Bimodules:AMS_16Dxx:1
AMS_16D25:16D25 Ideals:AMS_16Dxx:1
AMS_16D30:16D30 Infinite-dimensional simple rings (except as in <A HREF="http:16Kxx.html">16Kxx</A>):AMS_16Dxx:1
AMS_16D40:16D40 Free, projective, and flat modules and ideals:AMS_16Dxx:1
AMS_16D50:16D50 Injective modules, self-injective rings:AMS_16Dxx:1
AMS_16D60:16D60 Simple and semisimple modules, primitive rings and ideals:AMS_16Dxx:1
AMS_16D70:16D70 Structure and classification (except as in <A HREF="http:16Gxx.html">16Gxx</A>), direct sum decomposition, cancellation:AMS_16Dxx:1
AMS_16D80:16D80 Other classes of modules and ideals:AMS_16Dxx:1
AMS_16D90:16D90 Module categories:AMS_16Dxx:1
AMS_16D99:16D99 None of the above, but in this section:AMS_16Dxx:1
AMS_16Exx:16Exx Homological methods:AMS_16:0
AMS_16E05:16E05 Syzygies, resolutions, complexes:AMS_16Exx:1
AMS_16E10:16E10 Homological dimension:AMS_16Exx:1
AMS_16E20:16E20 Grothendieck groups, $K$-theory, etc.:AMS_16Exx:1
AMS_16E30:16E30 Homological functors on modules (Tor, Ext, etc.):AMS_16Exx:1
AMS_16E40:16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.):AMS_16Exx:1
AMS_16E45:16E45 Differential graded algebras and applications:AMS_16Exx:1
AMS_16E50:16E50 von Neumann regular rings and generalizations:AMS_16Exx:1
AMS_16E60:16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc.:AMS_16Exx:1
AMS_16E65:16E65 Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.):AMS_16Exx:1
AMS_16E99:16E99 None of the above, but in this section:AMS_16Exx:1
AMS_16Gxx:16Gxx Representation theory of rings and algebras:AMS_16:0
AMS_16G10:16G10 Representations of Artinian rings:AMS_16Gxx:1
AMS_16G20:16G20 Representations of quivers and partially ordered sets:AMS_16Gxx:1
AMS_16G30:16G30 Representations of orders, lattices, algebras over commutative rings:AMS_16Gxx:1
AMS_16G50:16G50 Cohen-Macaulay modules:AMS_16Gxx:1
AMS_16G60:16G60 Representation type (finite, tame, wild, etc.):AMS_16Gxx:1
AMS_16G70:16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers:AMS_16Gxx:1
AMS_16G99:16G99 None of the above, but in this section:AMS_16Gxx:1
AMS_16Kxx:16Kxx Division rings and semisimple Artin rings:AMS_16:0
AMS_16K20:16K20 Finite-dimensional:AMS_16Kxx:1
AMS_16K40:16K40 Infinite-dimensional and general:AMS_16Kxx:1
AMS_16K50:16K50 Brauer groups:AMS_16Kxx:1
AMS_16K99:16K99 None of the above, but in this section:AMS_16Kxx:1
AMS_16Lxx:16Lxx Local rings and generalizations:AMS_16:0
AMS_16L30:16L30 Noncommutative local and semilocal rings, perfect rings:AMS_16Lxx:1
AMS_16L60:16L60 Quasi-Frobenius rings:AMS_16Lxx:1
AMS_16L99:16L99 None of the above, but in this section:AMS_16Lxx:1
AMS_16Nxx:16Nxx Radicals and radical properties of rings:AMS_16:0
AMS_16N20:16N20 Jacobson radical, quasimultiplication:AMS_16Nxx:1
AMS_16N40:16N40 Nil and nilpotent radicals, sets, ideals, rings:AMS_16Nxx:1
AMS_16N60:16N60 Prime and semiprime rings:AMS_16Nxx:1
AMS_16N80:16N80 General radicals and rings:AMS_16Nxx:1
AMS_16N99:16N99 None of the above, but in this section:AMS_16Nxx:1
AMS_16Pxx:16Pxx Chain conditions, growth conditions, and other forms of finiteness:AMS_16:0
AMS_16P10:16P10 Finite rings and finite-dimensional algebras:AMS_16Pxx:1
AMS_16P20:16P20 Artinian rings and modules:AMS_16Pxx:1
AMS_16P40:16P40 Noetherian rings and modules:AMS_16Pxx:1
AMS_16P50:16P50 Localization and Noetherian rings:AMS_16Pxx:1
AMS_16P60:16P60 Chain conditions on annihilators and summands: Goldie-type conditions:AMS_16Pxx:1
AMS_16P70:16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence:AMS_16Pxx:1
AMS_16P90:16P90 Growth rate, Gelfand-Kirillov dimension:AMS_16Pxx:1
AMS_16P99:16P99 None of the above, but in this section:AMS_16Pxx:1
AMS_16Rxx:16Rxx Rings with polynomial identity:AMS_16:0
AMS_16R10:16R10 $T$-ideals, identities, varieties of rings and algebras:AMS_16Rxx:1
AMS_16R20:16R20 Semiprime p.i. rings, rings embeddable in matrices over commutative rings:AMS_16Rxx:1
AMS_16R30:16R30 Trace rings and invariant theory:AMS_16Rxx:1
AMS_16R40:16R40 Identities other than those of matrices over commutative rings:AMS_16Rxx:1
AMS_16R50:16R50 Other kinds of identities (generalized polynomial, rational, involution):AMS_16Rxx:1
AMS_16R99:16R99 None of the above, but in this section:AMS_16Rxx:1
AMS_16Sxx:16Sxx Rings and algebras arising under various constructions:AMS_16:0
AMS_16S10:16S10 Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.):AMS_16Sxx:1
AMS_16S15:16S15 Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting):AMS_16Sxx:1
AMS_16S20:16S20 Centralizing and normalizing extensions:AMS_16Sxx:1
AMS_16S30:16S30 Universal enveloping algebras of Lie algebras:AMS_16Sxx:1
AMS_16S32:16S32 Rings of differential operators:AMS_16Sxx:1
AMS_16S34:16S34 Group rings:AMS_16Sxx:1
AMS_16S35:16S35 Twisted and skew group rings, crossed products:AMS_16Sxx:1
AMS_16S36:16S36 Ordinary and skew polynomial rings and semigroup rings:AMS_16Sxx:1
AMS_16S37:16S37 Quadratic and Koszul algebras:AMS_16Sxx:1
AMS_16S38:16S38 Rings arising from non-commutative algebraic geometry:AMS_16Sxx:1
AMS_16S40:16S40 Smash products of general Hopf actions:AMS_16Sxx:1
AMS_16S50:16S50 Endomorphism rings; matrix rings:AMS_16Sxx:1
AMS_16S60:16S60 Rings of functions, subdirect products, sheaves of rings:AMS_16Sxx:1
AMS_16S70:16S70 Extensions of rings by ideals:AMS_16Sxx:1
AMS_16S80:16S80 Deformations of rings:AMS_16Sxx:1
AMS_16S90:16S90 Maximal ring of quotients, torsion theories, radicals on module categories:AMS_16Sxx:1
AMS_16S99:16S99 None of the above, but in this section:AMS_16Sxx:1
AMS_16Uxx:16Uxx Conditions on elements:AMS_16:0
AMS_16U10:16U10 Integral domains:AMS_16Uxx:1
AMS_16U20:16U20 Ore rings, multiplicative sets, Ore localization:AMS_16Uxx:1
AMS_16U30:16U30 Divisibility, noncommutative UFDs:AMS_16Uxx:1
AMS_16U60:16U60 Units, groups of units:AMS_16Uxx:1
AMS_16U70:16U70 Center, normalizer (invariant elements):AMS_16Uxx:1
AMS_16U80:16U80 Generalizations of commutativity:AMS_16Uxx:1
AMS_16U99:16U99 None of the above, but in this section:AMS_16Uxx:1
AMS_16Wxx:16Wxx Rings and algebras with additional structure:AMS_16:0
AMS_16W10:16W10 Rings with involution; Lie, Jordan and other nonassociative structures:AMS_16Wxx:1
AMS_16W20:16W20 Automorphisms and endomorphisms:AMS_16Wxx:1
AMS_16W22:16W22 Actions of groups and semigroups; invariant theory:AMS_16Wxx:1
AMS_16W25:16W25 Derivations, actions of Lie algebras:AMS_16Wxx:1
AMS_16W30:16W30 Coalgebras, bialgebras, Hopf algebras:AMS_16Wxx:1
AMS_16W35:16W35 Ring-theoretic aspects of quantum groups:AMS_16Wxx:1
AMS_16W50:16W50 Graded rings and modules:AMS_16Wxx:1
AMS_16W55:16W55 ``Super'' (or ``skew'') structure:AMS_16Wxx:1
AMS_16W60:16W60 Valuations,  completions, formal power series and related constructions:AMS_16Wxx:1
AMS_16W70:16W70 Filtered rings; filtrational and graded techniques:AMS_16Wxx:1
AMS_16W80:16W80 Topological and ordered rings and modules:AMS_16Wxx:1
AMS_16W99:16W99 None of the above, but in this section:AMS_16Wxx:1
AMS_16Yxx:16Yxx Generalizations:AMS_16:0
AMS_16Y30:16Y30 Near-rings:AMS_16Yxx:1
AMS_16Y60:16Y60 Semirings:AMS_16Yxx:1
AMS_16Y99:16Y99 None of the above, but in this section:AMS_16Yxx:1
AMS_17:17-XX Nonassociative rings and algebras:AMS_1:0
AMS_17Axx:17Axx General nonassociative rings:AMS_17:0
AMS_17A01:17A01 General theory:AMS_17Axx:1
AMS_17A05:17A05 Power-associative rings:AMS_17Axx:1
AMS_17A15:17A15 Noncommutative Jordan algebras:AMS_17Axx:1
AMS_17A20:17A20 Flexible algebras:AMS_17Axx:1
AMS_17A30:17A30 Algebras satisfying other identities:AMS_17Axx:1
AMS_17A32:17A32 Leibniz algebras:AMS_17Axx:1
AMS_17A35:17A35 Division algebras:AMS_17Axx:1
AMS_17A36:17A36 Automorphisms, derivations, other operators:AMS_17Axx:1
AMS_17A40:17A40 Ternary compositions:AMS_17Axx:1
AMS_17A42:17A42 Other $n$-ary compositions $(n \ge 3)$:AMS_17Axx:1
AMS_17A45:17A45 Quadratic algebras (but not quadratic Jordan algebras):AMS_17Axx:1
AMS_17A50:17A50 Free algebras:AMS_17Axx:1
AMS_17A60:17A60 Structure theory:AMS_17Axx:1
AMS_17A65:17A65 Radical theory:AMS_17Axx:1
AMS_17A70:17A70 Superalgebras:AMS_17Axx:1
AMS_17A75:17A75 Composition algebras:AMS_17Axx:1
AMS_17A80:17A80 Valued algebras:AMS_17Axx:1
AMS_17A99:17A99 None of the above, but in this section:AMS_17Axx:1
AMS_17Bxx:17Bxx Lie algebras and Lie superalgebras:AMS_17:0
AMS_17B01:17B01 Identities, free Lie (super)algebras:AMS_17Bxx:1
AMS_17B05:17B05 Structure theory:AMS_17Bxx:1
AMS_17B10:17B10 Representations, algebraic theory (weights):AMS_17Bxx:1
AMS_17B15:17B15 Representations, analytic theory:AMS_17Bxx:1
AMS_17B20:17B20 Simple, semisimple, reductive (super)algebras (roots):AMS_17Bxx:1
AMS_17B25:17B25 Exceptional (super)algebras:AMS_17Bxx:1
AMS_17B30:17B30 Solvable, nilpotent (super)algebras:AMS_17Bxx:1
AMS_17B35:17B35 Universal enveloping (super)algebras:AMS_17Bxx:1
AMS_17B37:17B37 Quantum groups (quantized enveloping algebras) and related deformations:AMS_17Bxx:1
AMS_17B40:17B40 Automorphisms, derivations, other operators:AMS_17Bxx:1
AMS_17B45:17B45 Lie algebras of linear algebraic groups:AMS_17Bxx:1
AMS_17B50:17B50 Modular Lie (super)algebras:AMS_17Bxx:1
AMS_17B55:17B55 Homological methods in Lie (super)algebras:AMS_17Bxx:1
AMS_17B56:17B56 Cohomology of Lie (super)algebras:AMS_17Bxx:1
AMS_17B60:17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.):AMS_17Bxx:1
AMS_17B62:17B62 Lie bialgebras:AMS_17Bxx:1
AMS_17B63:17B63 Poisson algebras:AMS_17Bxx:1
AMS_17B65:17B65 Infinite-dimensional Lie (super)algebras:AMS_17Bxx:1
AMS_17B66:17B66 Lie algebras of vector fields and related (super) algebras:AMS_17Bxx:1
AMS_17B67:17B67 Kac-Moody (super)algebras (structure and representation theory):AMS_17Bxx:1
AMS_17B68:17B68 Virasoro and related algebras:AMS_17Bxx:1
AMS_17B69:17B69 Vertex operators; vertex operator algebras and related structures:AMS_17Bxx:1
AMS_17B70:17B70 Graded Lie (super)algebras:AMS_17Bxx:1
AMS_17B75:17B75 Color Lie (super)algebras:AMS_17Bxx:1
AMS_17B80:17B80 Applications to integrable systems:AMS_17Bxx:1
AMS_17B81:17B81 Applications to physics:AMS_17Bxx:1
AMS_17B99:17B99 None of the above, but in this section:AMS_17Bxx:1
AMS_17Cxx:17Cxx Jordan algebras (algebras, triples and pairs):AMS_17:0
AMS_17C05:17C05 Identities and free Jordan structures:AMS_17Cxx:1
AMS_17C10:17C10 Structure theory:AMS_17Cxx:1
AMS_17C17:17C17 Radicals:AMS_17Cxx:1
AMS_17C20:17C20 Simple, semisimple algebras:AMS_17Cxx:1
AMS_17C27:17C27 Idempotents, Peirce decompositions:AMS_17Cxx:1
AMS_17C30:17C30 Associated groups, automorphisms:AMS_17Cxx:1
AMS_17C36:17C36 Associated manifolds:AMS_17Cxx:1
AMS_17C37:17C37 Associated geometries:AMS_17Cxx:1
AMS_17C40:17C40 Exceptional Jordan structures:AMS_17Cxx:1
AMS_17C50:17C50 Jordan structures associated with other structures:AMS_17Cxx:1
AMS_17C55:17C55 Finite-dimensional structures:AMS_17Cxx:1
AMS_17C60:17C60 Division algebras:AMS_17Cxx:1
AMS_17C65:17C65 Jordan structures on Banach spaces and algebras:AMS_17Cxx:1
AMS_17C70:17C70 Super structures:AMS_17Cxx:1
AMS_17C90:17C90 Applications to physics:AMS_17Cxx:1
AMS_17C99:17C99 None of the above, but in this section:AMS_17Cxx:1
AMS_17Dxx:17Dxx Other nonassociative rings and algebras:AMS_17:0
AMS_17D05:17D05 Alternative rings:AMS_17Dxx:1
AMS_17D10:17D10 Malcev (Maltsev) rings and algebras:AMS_17Dxx:1
AMS_17D15:17D15 Right alternative rings:AMS_17Dxx:1
AMS_17D20:17D20 $(\gamma, \delta)$-rings, including $(1,-1)$-rings:AMS_17Dxx:1
AMS_17D25:17D25 Lie-admissible algebras:AMS_17Dxx:1
AMS_17D92:17D92 Genetic algebras:AMS_17Dxx:1
AMS_17D99:17D99 None of the above, but in this section:AMS_17Dxx:1
AMS_18:18-XX Category theory; abstract homological algebra:AMS_1:0
AMS_18Axx:18Axx General theory of categories and functors:AMS_18:0
AMS_18A05:18A05 Definitions, generalizations:AMS_18Axx:1
AMS_18A10:18A10 Graphs, diagram schemes, precategories:AMS_18Axx:1
AMS_18A15:18A15 Foundations, relations to logic and deductive systems:AMS_18Axx:1
AMS_18A20:18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms:AMS_18Axx:1
AMS_18A22:18A22 Special properties of functors (faithful, full, etc.):AMS_18Axx:1
AMS_18A23:18A23 Natural morphisms, dinatural morphisms:AMS_18Axx:1
AMS_18A25:18A25 Functor categories, comma categories:AMS_18Axx:1
AMS_18A30:18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.):AMS_18Axx:1
AMS_18A32:18A32 Factorization of morphisms, substructures, quotient structures, congruences, amalgams:AMS_18Axx:1
AMS_18A35:18A35 Categories admitting limits (complete categories), functors preserving limits, completions:AMS_18Axx:1
AMS_18A40:18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.):AMS_18Axx:1
AMS_18A99:18A99 None of the above, but in this section:AMS_18Axx:1
AMS_18Bxx:18Bxx Special categories:AMS_18:0
AMS_18B05:18B05 Category of sets, characterizations:AMS_18Bxx:1
AMS_18B10:18B10 Category of relations, additive relations:AMS_18Bxx:1
AMS_18B15:18B15 Embedding theorems, universal categories:AMS_18Bxx:1
AMS_18B20:18B20 Categories of machines, automata, operative categories:AMS_18Bxx:1
AMS_18B25:18B25 Topoi:AMS_18Bxx:1
AMS_18B30:18B30 Categories of topological spaces and continuous mappings:AMS_18Bxx:1
AMS_18B35:18B35 Preorders, orders and lattices (viewed as categories):AMS_18Bxx:1
AMS_18B40:18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories):AMS_18Bxx:1
AMS_18B99:18B99 None of the above, but in this section:AMS_18Bxx:1
AMS_18Cxx:18Cxx Categories and theories:AMS_18:0
AMS_18C05:18C05 Equational categories:AMS_18Cxx:1
AMS_18C10:18C10 Theories (e.g. algebraic theories), structure, and semantics:AMS_18Cxx:1
AMS_18C15:18C15 Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples:AMS_18Cxx:1
AMS_18C20:18C20 Algebras and Kleisli categories associated with monads:AMS_18Cxx:1
AMS_18C30:18C30 Sketches and generalizations:AMS_18Cxx:1
AMS_18C35:18C35 Accessible and locally presentable categories:AMS_18Cxx:1
AMS_18C50:18C50 Categorical semantics of formal languages:AMS_18Cxx:1
AMS_18C99:18C99 None of the above, but in this section:AMS_18Cxx:1
AMS_18Dxx:18Dxx Categories with structure:AMS_18:0
AMS_18D05:18D05 Double categories, $2$-categories, bicategories and generalizations:AMS_18Dxx:1
AMS_18D10:18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories:AMS_18Dxx:1
AMS_18D15:18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.):AMS_18Dxx:1
AMS_18D20:18D20 Enriched categories (over closed or monoidal categories):AMS_18Dxx:1
AMS_18D25:18D25 Strong functors, strong adjunctions:AMS_18Dxx:1
AMS_18D30:18D30 Fibered categories:AMS_18Dxx:1
AMS_18D35:18D35 Structured objects in a category (group objects, etc.):AMS_18Dxx:1
AMS_18D50:18D50 Operads:AMS_18Dxx:1
AMS_18D99:18D99 None of the above, but in this section:AMS_18Dxx:1
AMS_18Exx:18Exx Abelian categories:AMS_18:0
AMS_18E05:18E05 Preadditive, additive categories:AMS_18Exx:1
AMS_18E10:18E10 Exact categories, abelian categories:AMS_18Exx:1
AMS_18E15:18E15 Grothendieck categories:AMS_18Exx:1
AMS_18E20:18E20 Embedding theorems:AMS_18Exx:1
AMS_18E25:18E25 Derived functors and satellites:AMS_18Exx:1
AMS_18E30:18E30 Derived categories, triangulated categories:AMS_18Exx:1
AMS_18E35:18E35 Localization of categories:AMS_18Exx:1
AMS_18E40:18E40 Torsion theories, radicals:AMS_18Exx:1
AMS_18E99:18E99 None of the above, but in this section:AMS_18Exx:1
AMS_18Fxx:18Fxx Categories and geometry:AMS_18:0
AMS_18F05:18F05 Local categories and functors:AMS_18Fxx:1
AMS_18F10:18F10 Grothendieck topologies:AMS_18Fxx:1
AMS_18F15:18F15 Abstract manifolds and fiber bundles:AMS_18Fxx:1
AMS_18F20:18F20 Presheaves and sheaves:AMS_18Fxx:1
AMS_18F25:18F25 Algebraic $K$-theory and $L$-theory:AMS_18Fxx:1
AMS_18F30:18F30 Grothendieck groups:AMS_18Fxx:1
AMS_18F99:18F99 None of the above, but in this section:AMS_18Fxx:1
AMS_18Gxx:18Gxx Abstract homological algebra:AMS_18:0
AMS_18G05:18G05 Projectives and injectives:AMS_18Gxx:1
AMS_18G10:18G10 Resolutions; derived functors:AMS_18Gxx:1
AMS_18G15:18G15 Ext and Tor, generalizations, K&uuml;nneth formula:AMS_18Gxx:1
AMS_18G20:18G20 Homological dimension:AMS_18Gxx:1
AMS_18G25:18G25 Relative homological algebra, projective classes:AMS_18Gxx:1
AMS_18G30:18G30 Simplicial sets, simplicial objects (in a category):AMS_18Gxx:1
AMS_18G35:18G35 Chain complexes:AMS_18Gxx:1
AMS_18G40:18G40 Spectral sequences, hypercohomology:AMS_18Gxx:1
AMS_18G50:18G50 Nonabelian homological algebra:AMS_18Gxx:1
AMS_18G55:18G55 Homotopical algebra:AMS_18Gxx:1
AMS_18G60:18G60 Other (co)homology theories:AMS_18Gxx:1
AMS_18G99:18G99 None of the above, but in this section:AMS_18Gxx:1
AMS_19:19-XX $K$-theory:AMS_1:0
AMS_19Axx:19Axx Grothendieck groups and $K_0$:AMS_19:0
AMS_19A13:19A13 Stability for projective modules:AMS_19Axx:1
AMS_19A15:19A15 Efficient generation:AMS_19Axx:1
AMS_19A22:19A22 Frobenius induction, Burnside and representation rings:AMS_19Axx:1
AMS_19A31:19A31 $K_0$ of group rings and orders:AMS_19Axx:1
AMS_19A49:19A49 $K_0$ of other rings:AMS_19Axx:1
AMS_19A99:19A99 None of the above, but in this section:AMS_19Axx:1
AMS_19Bxx:19Bxx Whitehead groups and $K_1$:AMS_19:0
AMS_19B10:19B10 Stable range conditions:AMS_19Bxx:1
AMS_19B14:19B14 Stability for linear groups:AMS_19Bxx:1
AMS_19B28:19B28 $K_1$ of group rings and orders:AMS_19Bxx:1
AMS_19B37:19B37 Congruence subgroup problems:AMS_19Bxx:1
AMS_19B99:19B99 None of the above, but in this section:AMS_19Bxx:1
AMS_19Cxx:19Cxx Steinberg groups and $K_2$:AMS_19:0
AMS_19C09:19C09 Central extensions and Schur multipliers:AMS_19Cxx:1
AMS_19C20:19C20 Symbols, presentations and stability of $K_2$:AMS_19Cxx:1
AMS_19C30:19C30 $K_2$ and the Brauer group:AMS_19Cxx:1
AMS_19C40:19C40 Excision for $K_2$:AMS_19Cxx:1
AMS_19C99:19C99 None of the above, but in this section:AMS_19Cxx:1
AMS_19Dxx:19Dxx Higher algebraic $K$-theory:AMS_19:0
AMS_19D06:19D06 $Q$- and plus-constructions:AMS_19Dxx:1
AMS_19D10:19D10 Algebraic $K$-theory of spaces:AMS_19Dxx:1
AMS_19D23:19D23 Symmetric monoidal categories:AMS_19Dxx:1
AMS_19D25:19D25 Karoubi-Villamayor-Gersten $K$-theory:AMS_19Dxx:1
AMS_19D35:19D35 Negative $K$-theory, NK and Nil:AMS_19Dxx:1
AMS_19D45:19D45 Higher symbols, Milnor $K$-theory:AMS_19Dxx:1
AMS_19D50:19D50 Computations of higher $K$-theory of rings:AMS_19Dxx:1
AMS_19D55:19D55 $K$-theory and homology; cyclic homology and cohomology:AMS_19Dxx:1
AMS_19D99:19D99 None of the above, but in this section:AMS_19Dxx:1
AMS_19Exx:19Exx $K$-theory in geometry:AMS_19:0
AMS_19E08:19E08 $K$-theory of schemes:AMS_19Exx:1
AMS_19E15:19E15 Algebraic cycles and motivic cohomology:AMS_19Exx:1
AMS_19E20:19E20 Relations with cohomology theories:AMS_19Exx:1
AMS_19E99:19E99 None of the above, but in this section:AMS_19Exx:1
AMS_19Fxx:19Fxx $K$-theory in number theory:AMS_19:0
AMS_19F05:19F05 Generalized class field theory:AMS_19Fxx:1
AMS_19F15:19F15 Symbols and arithmetic:AMS_19Fxx:1
AMS_19F27:19F27 &Eacute;tale cohomology, higher regulators, zeta and $L$-functions:AMS_19Fxx:1
AMS_19F99:19F99 None of the above, but in this section:AMS_19Fxx:1
AMS_19Gxx:19Gxx $K$-theory of forms:AMS_19:0
AMS_19G05:19G05 Stability for quadratic modules:AMS_19Gxx:1
AMS_19G12:19G12 Witt groups of rings:AMS_19Gxx:1
AMS_19G24:19G24 $L$-theory of group rings:AMS_19Gxx:1
AMS_19G38:19G38 Hermitian $K$-theory, relations with $K$-theory of rings:AMS_19Gxx:1
AMS_19G99:19G99 None of the above, but in this section:AMS_19Gxx:1
AMS_19Jxx:19Jxx Obstructions from topology:AMS_19:0
AMS_19J05:19J05 Finiteness and other obstructions in $K_0$:AMS_19Jxx:1
AMS_19J10:19J10 Whitehead (and related) torsion:AMS_19Jxx:1
AMS_19J25:19J25 Surgery obstructions:AMS_19Jxx:1
AMS_19J35:19J35 Obstructions to group actions:AMS_19Jxx:1
AMS_19J99:19J99 None of the above, but in this section:AMS_19Jxx:1
AMS_19Kxx:19Kxx $K$-theory and operator algebras:AMS_19:0
AMS_19K14:19K14 $K_0$ as an ordered group, traces:AMS_19Kxx:1
AMS_19K33:19K33 EXT and $K$-homology:AMS_19Kxx:1
AMS_19K35:19K35 Kasparov theory ($KK$-theory):AMS_19Kxx:1
AMS_19K56:19K56 Index theory:AMS_19Kxx:1
AMS_19K99:19K99 None of the above, but in this section:AMS_19Kxx:1
AMS_19Lxx:19Lxx Topological $K$-theory:AMS_19:0
AMS_19L10:19L10 Riemann-Roch theorems, Chern characters:AMS_19Lxx:1
AMS_19L20:19L20 $J$-homomorphism, Adams operations:AMS_19Lxx:1
AMS_19L41:19L41 Connective $K$-theory, cobordism:AMS_19Lxx:1
AMS_19L47:19L47 Equivariant $K$-theory:AMS_19Lxx:1
AMS_19L64:19L64 Computations, geometric applications:AMS_19Lxx:1
AMS_19L99:19L99 None of the above, but in this section:AMS_19Lxx:1
AMS_20:20-XX Group theory and generalizations:AMS_2:0
AMS_20Axx:20Axx Foundations:AMS_20:0
AMS_20A05:20A05 Axiomatics and elementary properties:AMS_20Axx:1
AMS_20A10:20A10 Metamathematical considerations:AMS_20Axx:1
AMS_20A15:20A15 Applications of logic to group theory:AMS_20Axx:1
AMS_20A99:20A99 None of the above, but in this section:AMS_20Axx:1
AMS_20Bxx:20Bxx Permutation groups:AMS_20:0
AMS_20B05:20B05 General theory for finite groups:AMS_20Bxx:1
AMS_20B07:20B07 General theory for infinite groups:AMS_20Bxx:1
AMS_20B10:20B10 Characterization theorems:AMS_20Bxx:1
AMS_20B15:20B15 Primitive groups:AMS_20Bxx:1
AMS_20B20:20B20 Multiply transitive finite groups:AMS_20Bxx:1
AMS_20B22:20B22 Multiply transitive infinite groups:AMS_20Bxx:1
AMS_20B25:20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures:AMS_20Bxx:1
AMS_20B27:20B27 Infinite automorphism groups:AMS_20Bxx:1
AMS_20B30:20B30 Symmetric groups:AMS_20Bxx:1
AMS_20B35:20B35 Subgroups of symmetric groups:AMS_20Bxx:1
AMS_20B40:20B40 Computational methods:AMS_20Bxx:1
AMS_20B99:20B99 None of the above, but in this section:AMS_20Bxx:1
AMS_20Cxx:20Cxx Representation theory of groups:AMS_20:0
AMS_20C05:20C05 Group rings of finite groups and their modules:AMS_20Cxx:1
AMS_20C07:20C07 Group rings of infinite groups and their modules:AMS_20Cxx:1
AMS_20C08:20C08 Hecke algebras and their representations:AMS_20Cxx:1
AMS_20C10:20C10 Integral representations of finite groups:AMS_20Cxx:1
AMS_20C11:20C11 $p$-adic representations of finite groups:AMS_20Cxx:1
AMS_20C12:20C12 Integral representations of infinite groups:AMS_20Cxx:1
AMS_20C15:20C15 Ordinary representations and characters:AMS_20Cxx:1
AMS_20C20:20C20 Modular representations and characters:AMS_20Cxx:1
AMS_20C25:20C25 Projective representations and multipliers:AMS_20Cxx:1
AMS_20C30:20C30 Representations of finite symmetric groups:AMS_20Cxx:1
AMS_20C32:20C32 Representations of infinite symmetric groups:AMS_20Cxx:1
AMS_20C33:20C33 Representations of finite groups of Lie type:AMS_20Cxx:1
AMS_20C34:20C34 Representations of sporadic groups:AMS_20Cxx:1
AMS_20C35:20C35 Applications of group representations to physics:AMS_20Cxx:1
AMS_20C40:20C40 Computational methods:AMS_20Cxx:1
AMS_20C99:20C99 None of the above, but in this section:AMS_20Cxx:1
AMS_20Dxx:20Dxx Abstract finite groups:AMS_20:0
AMS_20D05:20D05 Classification of simple and nonsolvable groups:AMS_20Dxx:1
AMS_20D06:20D06 Simple groups: alternating groups and groups of Lie type:AMS_20Dxx:1
AMS_20D08:20D08 Simple groups: sporadic groups:AMS_20Dxx:1
AMS_20D10:20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, $\pi$-length, ranks:AMS_20Dxx:1
AMS_20D15:20D15 Nilpotent groups, $p$-groups:AMS_20Dxx:1
AMS_20D20:20D20 Sylow subgroups, Sylow properties, $\pi$-groups, $\pi$-structure:AMS_20Dxx:1
AMS_20D25:20D25 Special subgroups (Frattini, Fitting, etc.):AMS_20Dxx:1
AMS_20D30:20D30 Series and lattices of subgroups:AMS_20Dxx:1
AMS_20D35:20D35 Subnormal subgroups:AMS_20Dxx:1
AMS_20D40:20D40 Products of subgroups:AMS_20Dxx:1
AMS_20D45:20D45 Automorphisms:AMS_20Dxx:1
AMS_20D60:20D60 Arithmetic and combinatorial problems:AMS_20Dxx:1
AMS_20D99:20D99 None of the above, but in this section:AMS_20Dxx:1
AMS_20Exx:20Exx Structure and classification of infinite or finite groups:AMS_20:0
AMS_20E05:20E05 Free nonabelian groups:AMS_20Exx:1
AMS_20E06:20E06 Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations:AMS_20Exx:1
AMS_20E07:20E07 Subgroup theorems; subgroup growth:AMS_20Exx:1
AMS_20E08:20E08 Groups acting on trees:AMS_20Exx:1
AMS_20E10:20E10 Quasivarieties and varieties of groups:AMS_20Exx:1
AMS_20E15:20E15 Chains and lattices of subgroups, subnormal subgroups:AMS_20Exx:1
AMS_20E18:20E18 Limits, profinite groups:AMS_20Exx:1
AMS_20E22:20E22 Extensions, wreath products, and other compositions:AMS_20Exx:1
AMS_20E25:20E25 Local properties:AMS_20Exx:1
AMS_20E26:20E26 Residual properties and generalizations:AMS_20Exx:1
AMS_20E28:20E28 Maximal subgroups:AMS_20Exx:1
AMS_20E32:20E32 Simple groups:AMS_20Exx:1
AMS_20E34:20E34 General structure theorems:AMS_20Exx:1
AMS_20E36:20E36 General theorems concerning automorphisms of groups:AMS_20Exx:1
AMS_20E42:20E42 Groups with a $BN$-pair; buildings:AMS_20Exx:1
AMS_20E45:20E45 Conjugacy classes:AMS_20Exx:1
AMS_20E99:20E99 None of the above, but in this section:AMS_20Exx:1
AMS_20Fxx:20Fxx Special aspects of infinite or finite groups:AMS_20:0
AMS_20F05:20F05 Generators, relations, and presentations:AMS_20Fxx:1
AMS_20F06:20F06 Cancellation theory; application of van Kampen diagrams:AMS_20Fxx:1
AMS_20F10:20F10 Word problems, other decision problems, connections with logic and automata:AMS_20Fxx:1
AMS_20F12:20F12 Commutator calculus:AMS_20Fxx:1
AMS_20F14:20F14 Derived series, central series, and generalizations:AMS_20Fxx:1
AMS_20F16:20F16 Solvable groups, supersolvable groups:AMS_20Fxx:1
AMS_20F17:20F17 Formations of groups, Fitting classes:AMS_20Fxx:1
AMS_20F18:20F18 Nilpotent groups:AMS_20Fxx:1
AMS_20F19:20F19 Generalizations of solvable and nilpotent groups:AMS_20Fxx:1
AMS_20F22:20F22 Other classes of groups defined by subgroup chains:AMS_20Fxx:1
AMS_20F24:20F24 FC-groups and their generalizations:AMS_20Fxx:1
AMS_20F28:20F28 Automorphism groups of groups:AMS_20Fxx:1
AMS_20F29:20F29 Representations of groups as automorphism groups of algebraic systems:AMS_20Fxx:1
AMS_20F34:20F34 Fundamental groups and their automorphisms:AMS_20Fxx:1
AMS_20F36:20F36 Braid groups; Artin groups:AMS_20Fxx:1
AMS_20F38:20F38 Other groups related to topology or analysis:AMS_20Fxx:1
AMS_20F40:20F40 Associated Lie structures:AMS_20Fxx:1
AMS_20F45:20F45 Engel conditions:AMS_20Fxx:1
AMS_20F50:20F50 Periodic groups; locally finite groups:AMS_20Fxx:1
AMS_20F55:20F55 Reflection and Coxeter groups:AMS_20Fxx:1
AMS_20F60:20F60 Ordered groups:AMS_20Fxx:1
AMS_20F65:20F65 Geometric group theory:AMS_20Fxx:1
AMS_20F67:20F67 Hyperbolic groups and nonpositively curved groups:AMS_20Fxx:1
AMS_20F69:20F69 Asymptotic properties of groups:AMS_20Fxx:1
AMS_20F99:20F99 None of the above, but in this section:AMS_20Fxx:1
AMS_20Gxx:20Gxx Linear algebraic groups (classical groups):AMS_20:0
AMS_20G05:20G05 Representation theory:AMS_20Gxx:1
AMS_20G10:20G10 Cohomology theory:AMS_20Gxx:1
AMS_20G15:20G15 Linear algebraic groups over arbitrary fields:AMS_20Gxx:1
AMS_20G20:20G20 Linear algebraic groups over the reals, the complexes, the quaternions:AMS_20Gxx:1
AMS_20G25:20G25 Linear algebraic groups over local fields and their integers:AMS_20Gxx:1
AMS_20G30:20G30 Linear algebraic groups over global fields and their integers:AMS_20Gxx:1
AMS_20G35:20G35 Linear algebraic groups over ad&egrave;les and other rings and schemes:AMS_20Gxx:1
AMS_20G40:20G40 Linear algebraic groups over finite fields:AMS_20Gxx:1
AMS_20G42:20G42 Quantum groups (quantized function algebras) and their representations:AMS_20Gxx:1
AMS_20G45:20G45 Applications to physics:AMS_20Gxx:1
AMS_20G99:20G99 None of the above, but in this section:AMS_20Gxx:1
AMS_20Hxx:20Hxx Other groups of matrices:AMS_20:0
AMS_20H05:20H05 Unimodular groups, congruence subgroups:AMS_20Hxx:1
AMS_20H10:20H10 Fuchsian groups and their generalizations:AMS_20Hxx:1
AMS_20H15:20H15 Other geometric groups, including crystallographic groups:AMS_20Hxx:1
AMS_20H20:20H20 Other matrix groups over fields:AMS_20Hxx:1
AMS_20H25:20H25 Other matrix groups over rings:AMS_20Hxx:1
AMS_20H30:20H30 Other matrix groups over finite fields:AMS_20Hxx:1
AMS_20H99:20H99 None of the above, but in this section:AMS_20Hxx:1
AMS_20Jxx:20Jxx Connections with homological algebra and category theory:AMS_20:0
AMS_20J05:20J05 Homological methods in group theory:AMS_20Jxx:1
AMS_20J06:20J06 Cohomology of groups:AMS_20Jxx:1
AMS_20J15:20J15 Category of groups:AMS_20Jxx:1
AMS_20J99:20J99 None of the above, but in this section:AMS_20Jxx:1
AMS_20Kxx:20Kxx Abelian groups:AMS_20:0
AMS_20K01:20K01 Finite abelian groups:AMS_20Kxx:1
AMS_20K10:20K10 Torsion groups, primary groups and generalized primary groups:AMS_20Kxx:1
AMS_20K15:20K15 Torsion-free groups, finite rank:AMS_20Kxx:1
AMS_20K20:20K20 Torsion-free groups, infinite rank:AMS_20Kxx:1
AMS_20K21:20K21 Mixed groups:AMS_20Kxx:1
AMS_20K25:20K25 Direct sums, direct products, etc.:AMS_20Kxx:1
AMS_20K27:20K27 Subgroups:AMS_20Kxx:1
AMS_20K30:20K30 Automorphisms, homomorphisms, endomorphisms, etc.:AMS_20Kxx:1
AMS_20K35:20K35 Extensions:AMS_20Kxx:1
AMS_20K40:20K40 Homological and categorical methods:AMS_20Kxx:1
AMS_20K45:20K45 Topological methods:AMS_20Kxx:1
AMS_20K99:20K99 None of the above, but in this section:AMS_20Kxx:1
AMS_20Mxx:20Mxx Semigroups:AMS_20:0
AMS_20M05:20M05 Free semigroups, generators and relations, word problems:AMS_20Mxx:1
AMS_20M07:20M07 Varieties of semigroups:AMS_20Mxx:1
AMS_20M10:20M10 General structure theory:AMS_20Mxx:1
AMS_20M11:20M11 Radical theory:AMS_20Mxx:1
AMS_20M12:20M12 Ideal theory:AMS_20Mxx:1
AMS_20M14:20M14 Commutative semigroups:AMS_20Mxx:1
AMS_20M15:20M15 Mappings of semigroups:AMS_20Mxx:1
AMS_20M17:20M17 Regular semigroups:AMS_20Mxx:1
AMS_20M18:20M18 Inverse semigroups:AMS_20Mxx:1
AMS_20M19:20M19 Orthodox semigroups:AMS_20Mxx:1
AMS_20M20:20M20 Semigroups of transformations, etc.:AMS_20Mxx:1
AMS_20M25:20M25 Semigroup rings, multiplicative semigroups of rings:AMS_20Mxx:1
AMS_20M30:20M30 Representation of semigroups; actions of semigroups on sets:AMS_20Mxx:1
AMS_20M35:20M35 Semigroups in automata theory, linguistics, etc.:AMS_20Mxx:1
AMS_20M50:20M50 Connections of semigroups with homological algebra and category theory:AMS_20Mxx:1
AMS_20M99:20M99 None of the above, but in this section:AMS_20Mxx:1
AMS_20Nxx:20Nxx Other generalizations of groups:AMS_20:0
AMS_20N02:20N02 Sets with a single binary operation (groupoids):AMS_20Nxx:1
AMS_20N05:20N05 Loops, quasigroups:AMS_20Nxx:1
AMS_20N10:20N10 Ternary systems (heaps, semiheaps, heapoids, etc.):AMS_20Nxx:1
AMS_20N15:20N15 $n$-ary systems $(n\ge 3)$:AMS_20Nxx:1
AMS_20N20:20N20 Hypergroups:AMS_20Nxx:1
AMS_20N25:20N25 Fuzzy groups:AMS_20Nxx:1
AMS_20N99:20N99 None of the above, but in this section:AMS_20Nxx:1
AMS_22:22-XX Topological groups, Lie groups:AMS_2:0
AMS_22Axx:22Axx Topological and differentiable algebraic systems:AMS_22:0
AMS_22A05:22A05 Structure of general topological groups:AMS_22Axx:1
AMS_22A10:22A10 Analysis on general topological groups:AMS_22Axx:1
AMS_22A15:22A15 Structure of topological semigroups:AMS_22Axx:1
AMS_22A20:22A20 Analysis on topological semigroups:AMS_22Axx:1
AMS_22A22:22A22 Topological groupoids (including differentiable and Lie groupoids):AMS_22Axx:1
AMS_22A25:22A25 Representations of general topological groups and semigroups:AMS_22Axx:1
AMS_22A26:22A26 Topological semilattices, lattices and applications:AMS_22Axx:1
AMS_22A30:22A30 Other topological algebraic systems and their representations:AMS_22Axx:1
AMS_22A99:22A99 None of the above, but in this section:AMS_22Axx:1
AMS_22Bxx:22Bxx Locally compact Abelian groups (LCA groups):AMS_22:0
AMS_22B05:22B05 General properties and structure of LCA groups:AMS_22Bxx:1
AMS_22B10:22B10 Structure of group algebras of LCA groups:AMS_22Bxx:1
AMS_22B99:22B99 None of the above, but in this section:AMS_22Bxx:1
AMS_22Dxx:22Dxx Locally compact groups and their algebras:AMS_22:0
AMS_22D05:22D05 General properties and structure of locally compact groups:AMS_22Dxx:1
AMS_22D10:22D10 Unitary representations of locally compact groups:AMS_22Dxx:1
AMS_22D12:22D12 Other representations of locally compact groups:AMS_22Dxx:1
AMS_22D15:22D15 Group algebras of locally compact groups:AMS_22Dxx:1
AMS_22D20:22D20 Representations of group algebras:AMS_22Dxx:1
AMS_22D25:22D25 $C^*$-algebras and $W$*-algebras in relation to group representations:AMS_22Dxx:1
AMS_22D30:22D30 Induced representations:AMS_22Dxx:1
AMS_22D35:22D35 Duality theorems:AMS_22Dxx:1
AMS_22D40:22D40 Ergodic theory on groups:AMS_22Dxx:1
AMS_22D45:22D45 Automorphism groups of locally compact groups:AMS_22Dxx:1
AMS_22D99:22D99 None of the above, but in this section:AMS_22Dxx:1
AMS_22Exx:22Exx Lie groups:AMS_22:0
AMS_22E05:22E05 Local Lie groups:AMS_22Exx:1
AMS_22E10:22E10 General properties and structure of complex Lie groups:AMS_22Exx:1
AMS_22E15:22E15 General properties and structure of real Lie groups:AMS_22Exx:1
AMS_22E20:22E20 General properties and structure of other Lie groups:AMS_22Exx:1
AMS_22E25:22E25 Nilpotent and solvable Lie groups:AMS_22Exx:1
AMS_22E27:22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.):AMS_22Exx:1
AMS_22E30:22E30 Analysis on real and complex Lie groups:AMS_22Exx:1
AMS_22E35:22E35 Analysis on $p$-adic Lie groups:AMS_22Exx:1
AMS_22E40:22E40 Discrete subgroups of Lie groups:AMS_22Exx:1
AMS_22E41:22E41 Continuous cohomology:AMS_22Exx:1
AMS_22E43:22E43 Structure and representation of the Lorentz group:AMS_22Exx:1
AMS_22E45:22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods:AMS_22Exx:1
AMS_22E46:22E46 Semisimple Lie groups and their representations:AMS_22Exx:1
AMS_22E47:22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.):AMS_22Exx:1
AMS_22E50:22E50 Representations of Lie and linear algebraic groups over local fields:AMS_22Exx:1
AMS_22E55:22E55 Representations of Lie and linear algebraic groups over global fields and ad&egrave;le rings:AMS_22Exx:1
AMS_22E60:22E60 Lie algebras of Lie groups:AMS_22Exx:1
AMS_22E65:22E65 Infinite-dimensional Lie groups and their Lie algebras:AMS_22Exx:1
AMS_22E67:22E67 Loop groups and related constructions, group-theoretic treatment:AMS_22Exx:1
AMS_22E70:22E70 Applications of Lie groups to physics; explicit representations:AMS_22Exx:1
AMS_22E99:22E99 None of the above, but in this section:AMS_22Exx:1
AMS_22Fxx:22Fxx Noncompact transformation groups:AMS_22:0
AMS_22F05:22F05 General theory of group and pseudogroup actions:AMS_22Fxx:1
AMS_22F10:22F10 Measurable group actions:AMS_22Fxx:1
AMS_22F30:22F30 Homogeneous spaces:AMS_22Fxx:1
AMS_22F50:22F50 Groups as automorphisms of other structures:AMS_22Fxx:1
AMS_26:26-XX Real functions:AMS_2:0
AMS_26Axx:26Axx Functions of one variable:AMS_26:0
AMS_26A03:26A03 Foundations: limits and generalizations, elementary topology of the line:AMS_26Axx:1
AMS_26A06:26A06 One-variable calculus:AMS_26Axx:1
AMS_26A09:26A09 Elementary functions:AMS_26Axx:1
AMS_26A12:26A12 Rate of growth of functions, orders of infinity, slowly varying functions:AMS_26Axx:1
AMS_26A15:26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.):AMS_26Axx:1
AMS_26A16:26A16 Lipschitz (H&ouml;lder) classes:AMS_26Axx:1
AMS_26A18:26A18 Iteration:AMS_26Axx:1
AMS_26A21:26A21 Classification of real functions; Baire classification of sets and functions:AMS_26Axx:1
AMS_26A24:26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems:AMS_26Axx:1
AMS_26A27:26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives:AMS_26Axx:1
AMS_26A30:26A30 Singular functions, Cantor functions, functions with other special properties:AMS_26Axx:1
AMS_26A33:26A33 Fractional derivatives and integrals:AMS_26Axx:1
AMS_26A36:26A36 Antidifferentiation:AMS_26Axx:1
AMS_26A39:26A39 Denjoy and Perron integrals, other special integrals:AMS_26Axx:1
AMS_26A42:26A42 Integrals of Riemann, Stieltjes and Lebesgue type:AMS_26Axx:1
AMS_26A45:26A45 Functions of bounded variation, generalizations:AMS_26Axx:1
AMS_26A46:26A46 Absolutely continuous functions:AMS_26Axx:1
AMS_26A48:26A48 Monotonic functions, generalizations:AMS_26Axx:1
AMS_26A51:26A51 Convexity, generalizations:AMS_26Axx:1
AMS_26A99:26A99 None of the above, but in this section:AMS_26Axx:1
AMS_26Bxx:26Bxx Functions of several variables:AMS_26:0
AMS_26B05:26B05 Continuity and differentiation questions:AMS_26Bxx:1
AMS_26B10:26B10 Implicit function theorems, Jacobians, transformations with several variables:AMS_26Bxx:1
AMS_26B12:26B12 Calculus of vector functions:AMS_26Bxx:1
AMS_26B15:26B15 Integration: length, area, volume:AMS_26Bxx:1
AMS_26B20:26B20 Integral formulas (Stokes, Gauss, Green, etc.):AMS_26Bxx:1
AMS_26B25:26B25 Convexity, generalizations:AMS_26Bxx:1
AMS_26B30:26B30 Absolutely continuous functions, functions of bounded variation:AMS_26Bxx:1
AMS_26B35:26B35 Special properties of functions of several variables, H&ouml;lder conditions, etc.:AMS_26Bxx:1
AMS_26B40:26B40 Representation and superposition of functions:AMS_26Bxx:1
AMS_26B99:26B99 None of the above, but in this section:AMS_26Bxx:1
AMS_26Cxx:26Cxx Polynomials, rational functions:AMS_26:0
AMS_26C05:26C05 Polynomials: analytic properties, etc.:AMS_26Cxx:1
AMS_26C10:26C10 Polynomials: location of zeros:AMS_26Cxx:1
AMS_26C15:26C15 Rational functions:AMS_26Cxx:1
AMS_26C99:26C99 None of the above, but in this section:AMS_26Cxx:1
AMS_26Dxx:26Dxx Inequalities:AMS_26:0
AMS_26D05:26D05 Inequalities for trigonometric functions and polynomials:AMS_26Dxx:1
AMS_26D07:26D07 Inequalities involving other types of functions:AMS_26Dxx:1
AMS_26D10:26D10 Inequalities involving derivatives and differential and integral operators:AMS_26Dxx:1
AMS_26D15:26D15 Inequalities for sums, series and integrals:AMS_26Dxx:1
AMS_26D20:26D20 Other analytical inequalities:AMS_26Dxx:1
AMS_26D99:26D99 None of the above, but in this section:AMS_26Dxx:1
AMS_26Exx:26Exx Miscellaneous topics:AMS_26:0
AMS_26E05:26E05 Real-analytic functions:AMS_26Exx:1
AMS_26E10:26E10 $C^\infty$-functions, quasi-analytic functions:AMS_26Exx:1
AMS_26E15:26E15 Calculus of functions on infinite-dimensional spaces:AMS_26Exx:1
AMS_26E20:26E20 Calculus of functions taking values in infinite-dimensional spaces:AMS_26Exx:1
AMS_26E25:26E25 Set-valued functions:AMS_26Exx:1
AMS_26E30:26E30 Non-Archimedean analysis:AMS_26Exx:1
AMS_26E35:26E35 Nonstandard analysis:AMS_26Exx:1
AMS_26E40:26E40 Constructive real analysis:AMS_26Exx:1
AMS_26E50:26E50 Fuzzy real analysis:AMS_26Exx:1
AMS_26E60:26E60 Means:AMS_26Exx:1
AMS_26E99:26E99 None of the above, but in this section:AMS_26Exx:1
AMS_28:28-XX Measure and integration:AMS_2:0
AMS_28Axx:28Axx Classical measure theory:AMS_28:0
AMS_28A05:28A05 Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets:AMS_28Axx:1
AMS_28A10:28A10 Real- or complex-valued set functions:AMS_28Axx:1
AMS_28A12:28A12 Contents, measures, outer measures, capacities:AMS_28Axx:1
AMS_28A15:28A15 Abstract differentiation theory, differentiation of set functions:AMS_28Axx:1
AMS_28A20:28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence:AMS_28Axx:1
AMS_28A25:28A25 Integration with respect to measures and other set functions:AMS_28Axx:1
AMS_28A33:28A33 Spaces of measures, convergence of measures:AMS_28Axx:1
AMS_28A35:28A35 Measures and integrals in product spaces:AMS_28Axx:1
AMS_28A50:28A50 Integration and disintegration of measures:AMS_28Axx:1
AMS_28A51:28A51 Lifting theory:AMS_28Axx:1
AMS_28A60:28A60 Measures on Boolean rings, measure algebras:AMS_28Axx:1
AMS_28A75:28A75 Length, area, volume, other geometric measure theory:AMS_28Axx:1
AMS_28A78:28A78 Hausdorff and packing measures:AMS_28Axx:1
AMS_28A80:28A80 Fractals:AMS_28Axx:1
AMS_28A99:28A99 None of the above, but in this section:AMS_28Axx:1
AMS_28Bxx:28Bxx Set functions, measures and integrals with values in abstract spaces:AMS_28:0
AMS_28B05:28B05 Vector-valued set functions, measures and integrals:AMS_28Bxx:1
AMS_28B10:28B10 Group- or semigroup-valued set functions, measures and integrals:AMS_28Bxx:1
AMS_28B15:28B15 Set functions, measures and integrals with values in ordered spaces:AMS_28Bxx:1
AMS_28B20:28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections:AMS_28Bxx:1
AMS_28B99:28B99 None of the above, but in this section:AMS_28Bxx:1
AMS_28Cxx:28Cxx Set functions and measures on spaces with additional structure:AMS_28:0
AMS_28C05:28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures:AMS_28Cxx:1
AMS_28C10:28C10 Set functions and measures on topological groups, Haar measures, invariant measures:AMS_28Cxx:1
AMS_28C15:28C15 Set functions and measures on topological spaces (regularity of measures, etc.):AMS_28Cxx:1
AMS_28C20:28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.):AMS_28Cxx:1
AMS_28C99:28C99 None of the above, but in this section:AMS_28Cxx:1
AMS_28Dxx:28Dxx Measure-theoretic ergodic theory:AMS_28:0
AMS_28D05:28D05 Measure-preserving transformations:AMS_28Dxx:1
AMS_28D10:28D10 One-parameter continuous families of measure-preserving transformations:AMS_28Dxx:1
AMS_28D15:28D15 General groups of measure-preserving transformations:AMS_28Dxx:1
AMS_28D20:28D20 Entropy and other invariants:AMS_28Dxx:1
AMS_28D99:28D99 None of the above, but in this section:AMS_28Dxx:1
AMS_28Exx:28Exx Miscellaneous topics in measure theory:AMS_28:0
AMS_28E05:28E05 Nonstandard measure theory:AMS_28Exx:1
AMS_28E10:28E10 Fuzzy measure theory:AMS_28Exx:1
AMS_28E15:28E15 Other connections with logic and set theory:AMS_28Exx:1
AMS_28E99:28E99 None of the above, but in this section:AMS_28Exx:1
AMS_30:30-XX Functions of a complex variable:AMS_3:0
AMS_30Axx:30Axx General properties:AMS_30:0
AMS_30A05:30A05 Monogenic properties of complex functions (including polygenic and areolar monogenic functions):AMS_30Axx:1
AMS_30A10:30A10 Inequalities in the complex domain:AMS_30Axx:1
AMS_30A99:30A99 None of the above, but in this section:AMS_30Axx:1
AMS_30Bxx:30Bxx Series expansions:AMS_30:0
AMS_30B10:30B10 Power series (including lacunary series):AMS_30Bxx:1
AMS_30B20:30B20 Random power series:AMS_30Bxx:1
AMS_30B30:30B30 Boundary behavior of power series, over-convergence:AMS_30Bxx:1
AMS_30B40:30B40 Analytic continuation:AMS_30Bxx:1
AMS_30B50:30B50 Dirichlet series and other series expansions, exponential series:AMS_30Bxx:1
AMS_30B60:30B60 Completeness problems, closure of a system of functions:AMS_30Bxx:1
AMS_30B70:30B70 Continued fractions:AMS_30Bxx:1
AMS_30B99:30B99 None of the above, but in this section:AMS_30Bxx:1
AMS_30Cxx:30Cxx Geometric function theory:AMS_30:0
AMS_30C10:30C10 Polynomials:AMS_30Cxx:1
AMS_30C15:30C15 Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral):AMS_30Cxx:1
AMS_30C20:30C20 Conformal mappings of special domains:AMS_30Cxx:1
AMS_30C25:30C25 Covering theorems in conformal mapping theory:AMS_30Cxx:1
AMS_30C30:30C30 Numerical methods in conformal mapping theory:AMS_30Cxx:1
AMS_30C35:30C35 General theory of conformal mappings:AMS_30Cxx:1
AMS_30C40:30C40 Kernel functions and applications:AMS_30Cxx:1
AMS_30C45:30C45 Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.):AMS_30Cxx:1
AMS_30C50:30C50 Coefficient problems for univalent and multivalent functions:AMS_30Cxx:1
AMS_30C55:30C55 General theory of univalent and multivalent functions:AMS_30Cxx:1
AMS_30C62:30C62 Quasiconformal mappings in the plane:AMS_30Cxx:1
AMS_30C65:30C65 Quasiconformal mappings in $<B>R</B>^n$, other generalizations:AMS_30Cxx:1
AMS_30C70:30C70 Extremal problems for conformal and quasiconformal mappings, variational methods:AMS_30Cxx:1
AMS_30C75:30C75 Extremal problems for conformal and quasiconformal mappings, other methods:AMS_30Cxx:1
AMS_30C80:30C80 Maximum principle; Schwarz's lemma, Lindel&ouml;f principle, analogues and generalizations; subordination:AMS_30Cxx:1
AMS_30C85:30C85 Capacity and harmonic measure in the complex plane:AMS_30Cxx:1
AMS_30C99:30C99 None of the above, but in this section:AMS_30Cxx:1
AMS_30Dxx:30Dxx Entire and meromorphic functions, and related topics:AMS_30:0
AMS_30D05:30D05 Functional equations in the complex domain, iteration and composition of analytic functions:AMS_30Dxx:1
AMS_30D10:30D10 Representations of entire functions by series and integrals:AMS_30Dxx:1
AMS_30D15:30D15 Special classes of entire functions and growth estimates:AMS_30Dxx:1
AMS_30D20:30D20 Entire functions, general theory:AMS_30Dxx:1
AMS_30D30:30D30 Meromorphic functions, general theory:AMS_30Dxx:1
AMS_30D35:30D35 Distribution of values, Nevanlinna theory:AMS_30Dxx:1
AMS_30D40:30D40 Cluster sets, prime ends, boundary behavior:AMS_30Dxx:1
AMS_30D45:30D45 Bloch functions, normal functions, normal families:AMS_30Dxx:1
AMS_30D50:30D50 Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part:AMS_30Dxx:1
AMS_30D55:30D55 $:AMS_30Dxx:1
AMS_30D60:30D60 Quasi-analytic and other classes of functions:AMS_30Dxx:1
AMS_30D99:30D99 None of the above, but in this section:AMS_30Dxx:1
AMS_30Exx:30Exx Miscellaneous topics of analysis in the complex domain:AMS_30:0
AMS_30E05:30E05 Moment problems, interpolation problems:AMS_30Exx:1
AMS_30E10:30E10 Approximation in the complex domain:AMS_30Exx:1
AMS_30E15:30E15 Asymptotic representations in the complex domain:AMS_30Exx:1
AMS_30E20:30E20 Integration, integrals of Cauchy type, integral representations of analytic functions:AMS_30Exx:1
AMS_30E25:30E25 Boundary value problems:AMS_30Exx:1
AMS_30E99:30E99 None of the above, but in this section:AMS_30Exx:1
AMS_30Fxx:30Fxx Riemann surfaces:AMS_30:0
AMS_30F10:30F10 Compact Riemann surfaces and uniformization:AMS_30Fxx:1
AMS_30F15:30F15 Harmonic functions on Riemann surfaces:AMS_30Fxx:1
AMS_30F20:30F20 Classification theory of Riemann surfaces:AMS_30Fxx:1
AMS_30F25:30F25 Ideal boundary theory:AMS_30Fxx:1
AMS_30F30:30F30 Differentials on Riemann surfaces:AMS_30Fxx:1
AMS_30F35:30F35 Fuchsian groups and automorphic functions:AMS_30Fxx:1
AMS_30F40:30F40 Kleinian groups:AMS_30Fxx:1
AMS_30F45:30F45 Conformal metrics (hyperbolic, Poincar&eacute;, distance functions):AMS_30Fxx:1
AMS_30F50:30F50 Klein surfaces:AMS_30Fxx:1
AMS_30F60:30F60 Teichm&uuml;ller theory:AMS_30Fxx:1
AMS_30F99:30F99 None of the above, but in this section:AMS_30Fxx:1
AMS_30Gxx:30Gxx Generalized function theory:AMS_30:0
AMS_30G06:30G06 Non-Archimedean function theory:AMS_30Gxx:1
AMS_30G12:30G12 Finely holomorphic functions and topological function theory:AMS_30Gxx:1
AMS_30G20:30G20 Generalizations of Bers or Vekua type (pseudoanalytic, $p$-analytic, etc.):AMS_30Gxx:1
AMS_30G25:30G25 Discrete analytic functions:AMS_30Gxx:1
AMS_30G30:30G30 Other generalizations of analytic functions (including abstract-valued functions):AMS_30Gxx:1
AMS_30G35:30G35 Functions of hypercomplex variables and generalized variables:AMS_30Gxx:1
AMS_30G99:30G99 None of the above, but in this section:AMS_30Gxx:1
AMS_31:31-XX Potential theory:AMS_3:0
AMS_31Axx:31Axx Two-dimensional theory:AMS_31:0
AMS_31A05:31A05 Harmonic, subharmonic, superharmonic functions:AMS_31Axx:1
AMS_31A10:31A10 Integral representations, integral operators, integral equations methods:AMS_31Axx:1
AMS_31A15:31A15 Potentials and capacity, harmonic measure, extremal length:AMS_31Axx:1
AMS_31A20:31A20 Boundary behavior (theorems of Fatou type, etc.):AMS_31Axx:1
AMS_31A25:31A25 Boundary value and inverse problems:AMS_31Axx:1
AMS_31A30:31A30 Biharmonic, polyharmonic functions and equations, Poisson's equation:AMS_31Axx:1
AMS_31A35:31A35 Connections with differential equations:AMS_31Axx:1
AMS_31A99:31A99 None of the above, but in this section:AMS_31Axx:1
AMS_31Bxx:31Bxx Higher-dimensional theory:AMS_31:0
AMS_31B05:31B05 Harmonic, subharmonic, superharmonic functions:AMS_31Bxx:1
AMS_31B10:31B10 Integral representations, integral operators, integral equations methods:AMS_31Bxx:1
AMS_31B15:31B15 Potentials and capacities, extremal length:AMS_31Bxx:1
AMS_31B20:31B20 Boundary value and inverse problems:AMS_31Bxx:1
AMS_31B25:31B25 Boundary behavior:AMS_31Bxx:1
AMS_31B30:31B30 Biharmonic and polyharmonic equations and functions:AMS_31Bxx:1
AMS_31B35:31B35 Connections with differential equations:AMS_31Bxx:1
AMS_31B99:31B99 None of the above, but in this section:AMS_31Bxx:1
AMS_31Cxx:31Cxx Other generalizations:AMS_31:0
AMS_31C05:31C05 Harmonic, subharmonic, superharmonic functions:AMS_31Cxx:1
AMS_31C10:31C10 Pluriharmonic and plurisubharmonic functions:AMS_31Cxx:1
AMS_31C12:31C12 Potential theory on Riemannian manifolds:AMS_31Cxx:1
AMS_31C15:31C15 Potentials and capacities:AMS_31Cxx:1
AMS_31C20:31C20 Discrete potential theory and numerical methods:AMS_31Cxx:1
AMS_31C25:31C25 Dirichlet spaces:AMS_31Cxx:1
AMS_31C35:31C35 Martin boundary theory:AMS_31Cxx:1
AMS_31C40:31C40 Fine potential theory:AMS_31Cxx:1
AMS_31C45:31C45 Other generalizations (nonlinear potential theory, etc.):AMS_31Cxx:1
AMS_31C99:31C99 None of the above, but in this section:AMS_31Cxx:1
AMS_32:32-XX Several complex variables and analytic spaces:AMS_3:0
AMS_32Axx:32Axx Holomorphic functions of several complex variables:AMS_32:0
AMS_32A05:32A05 Power series, series of functions:AMS_32Axx:1
AMS_32A07:32A07 Special domains (Reinhardt, Hartogs, circular, tube):AMS_32Axx:1
AMS_32A10:32A10 Holomorphic functions:AMS_32Axx:1
AMS_32A12:32A12 Multifunctions:AMS_32Axx:1
AMS_32A15:32A15 Entire functions:AMS_32Axx:1
AMS_32A17:32A17 Special families of functions:AMS_32Axx:1
AMS_32A18:32A18 Bloch functions, normal functions:AMS_32Axx:1
AMS_32A19:32A19 Normal families of functions, mappings:AMS_32Axx:1
AMS_32A20:32A20 Meromorphic functions:AMS_32Axx:1
AMS_32A22:32A22 Nevanlinna theory (local); growth estimates; other inequalities:AMS_32Axx:1
AMS_32A25:32A25 Integral representations; canonical kernels (Szeg&ouml;, Bergman, etc.):AMS_32Axx:1
AMS_32A26:32A26 Integral representations, constructed kernels (e.g. Cauchy, Fantappi&egrave;-type kernels):AMS_32Axx:1
AMS_32A27:32A27 Local theory of residues:AMS_32Axx:1
AMS_32A30:32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30):AMS_32Axx:1
AMS_32A35:32A35 $:AMS_32Axx:1
AMS_32A36:32A36 Bergman spaces:AMS_32Axx:1
AMS_32A37:32A37 Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)):AMS_32Axx:1
AMS_32A38:32A38 Algebras of holomorphic functions:AMS_32Axx:1
AMS_32A40:32A40 Boundary behavior of holomorphic functions:AMS_32Axx:1
AMS_32A45:32A45 Hyperfunctions:AMS_32Axx:1
AMS_32A50:32A50 Harmonic analysis of several complex variables:AMS_32Axx:1
AMS_32A55:32A55 Singular integrals:AMS_32Axx:1
AMS_32A60:32A60 Zero sets of holomorphic functions:AMS_32Axx:1
AMS_32A65:32A65 Banach algebra techniques:AMS_32Axx:1
AMS_32A70:32A70 Functional analysis techniques:AMS_32Axx:1
AMS_32A99:32A99 None of the above, but in this section:AMS_32Axx:1
AMS_32Bxx:32Bxx Local analytic geometry:AMS_32:0
AMS_32B05:32B05 Analytic algebras and generalizations, preparation theorems:AMS_32Bxx:1
AMS_32B10:32B10 Germs of analytic sets, local parametrization:AMS_32Bxx:1
AMS_32B15:32B15 Analytic subsets of affine space:AMS_32Bxx:1
AMS_32B20:32B20 Semi-analytic sets and subanalytic sets:AMS_32Bxx:1
AMS_32B25:32B25 Triangulation and related questions:AMS_32Bxx:1
AMS_32B99:32B99 None of the above, but in this section:AMS_32Bxx:1
AMS_32Cxx:32Cxx Analytic spaces:AMS_32:0
AMS_32C05:32C05 Real-analytic manifolds, real-analytic spaces:AMS_32Cxx:1
AMS_32C07:32C07 Real-analytic sets, complex Nash functions:AMS_32Cxx:1
AMS_32C09:32C09 Embedding of real analytic manifolds:AMS_32Cxx:1
AMS_32C11:32C11 Complex supergeometry:AMS_32Cxx:1
AMS_32C15:32C15 Complex spaces:AMS_32Cxx:1
AMS_32C18:32C18 Topology of analytic spaces:AMS_32Cxx:1
AMS_32C20:32C20 Normal analytic spaces:AMS_32Cxx:1
AMS_32C22:32C22 Embedding of analytic spaces:AMS_32Cxx:1
AMS_32C25:32C25 Analytic subsets and submanifolds:AMS_32Cxx:1
AMS_32C30:32C30 Integration on analytic sets and spaces, currents:AMS_32Cxx:1
AMS_32C35:32C35 Analytic sheaves and cohomology groups:AMS_32Cxx:1
AMS_32C36:32C36 Local cohomology of analytic spaces:AMS_32Cxx:1
AMS_32C37:32C37 Duality theorems:AMS_32Cxx:1
AMS_32C38:32C38 Sheaves of differential operators and their modules, $D$-modules:AMS_32Cxx:1
AMS_32C55:32C55 The Levi problem in complex spaces; generalizations:AMS_32Cxx:1
AMS_32C81:32C81 Applications to physics:AMS_32Cxx:1
AMS_32C99:32C99 None of the above, but in this section:AMS_32Cxx:1
AMS_32Dxx:32Dxx Analytic continuation:AMS_32:0
AMS_32D05:32D05 Domains of holomorphy:AMS_32Dxx:1
AMS_32D10:32D10 Envelopes of holomorphy:AMS_32Dxx:1
AMS_32D15:32D15 Continuation of analytic objects:AMS_32Dxx:1
AMS_32D20:32D20 Removable singularities:AMS_32Dxx:1
AMS_32D26:32D26 Riemann domains:AMS_32Dxx:1
AMS_32D99:32D99 None of the above, but in this section:AMS_32Dxx:1
AMS_32Exx:32Exx Holomorphic convexity:AMS_32:0
AMS_32E05:32E05 Holomorphically convex complex spaces, reduction theory:AMS_32Exx:1
AMS_32E10:32E10 Stein spaces, Stein manifolds:AMS_32Exx:1
AMS_32E20:32E20 Polynomial convexity:AMS_32Exx:1
AMS_32E30:32E30 Holomorphic and polynomial approximation, Runge pairs, interpolation:AMS_32Exx:1
AMS_32E35:32E35 Global boundary behavior of holomorphic functions:AMS_32Exx:1
AMS_32E40:32E40 The Levi problem:AMS_32Exx:1
AMS_32E99:32E99 None of the above, but in this section:AMS_32Exx:1
AMS_32Fxx:32Fxx Geometric convexity:AMS_32:0
AMS_32F10:32F10 $q$-convexity, $q$-concavity:AMS_32Fxx:1
AMS_32F17:32F17 Other notions of convexity:AMS_32Fxx:1
AMS_32F18:32F18 Finite-type conditions:AMS_32Fxx:1
AMS_32F27:32F27 Topological consequences of geometric convexity:AMS_32Fxx:1
AMS_32F32:32F32 Analytical consequences of geometric convexity (vanishing theorems, etc.):AMS_32Fxx:1
AMS_32F45:32F45 Invariant metrics and pseudodistances:AMS_32Fxx:1
AMS_32F99:32F99 None of the above, but in this section:AMS_32Fxx:1
AMS_32Gxx:32Gxx Deformations of analytic structures:AMS_32:0
AMS_32G05:32G05 Deformations of complex structures:AMS_32Gxx:1
AMS_32G07:32G07 Deformations of special (e.g. CR) structures:AMS_32Gxx:1
AMS_32G08:32G08 Deformations of fiber bundles:AMS_32Gxx:1
AMS_32G10:32G10 Deformations of submanifolds and subspaces:AMS_32Gxx:1
AMS_32G13:32G13 Analytic moduli problems:AMS_32Gxx:1
AMS_32G15:32G15 Moduli of Riemann surfaces, Teichm&uuml;ller theory:AMS_32Gxx:1
AMS_32G20:32G20 Period matrices, variation of Hodge structure; degenerations:AMS_32Gxx:1
AMS_32G34:32G34 Moduli and deformations for ordinary differential equations (e.g. Khnizhnik-Zamolodchikov equation):AMS_32Gxx:1
AMS_32G81:32G81 Applications to physics:AMS_32Gxx:1
AMS_32G99:32G99 None of the above, but in this section:AMS_32Gxx:1
AMS_32Hxx:32Hxx Holomorphic mappings and correspondences:AMS_32:0
AMS_32H02:32H02 Holomorphic mappings, (holomorphic) embeddings and related questions:AMS_32Hxx:1
AMS_32H04:32H04 Meromorphic mappings:AMS_32Hxx:1
AMS_32H12:32H12 Boundary uniqueness of mappings:AMS_32Hxx:1
AMS_32H25:32H25 Picard-type theorems and generalizations:AMS_32Hxx:1
AMS_32H30:32H30 Value distribution theory in higher dimensions:AMS_32Hxx:1
AMS_32H35:32H35 Proper mappings, finiteness theorems:AMS_32Hxx:1
AMS_32H40:32H40 Boundary regularity of mappings:AMS_32Hxx:1
AMS_32H50:32H50 Iteration problems:AMS_32Hxx:1
AMS_32H99:32H99 None of the above, but in this section:AMS_32Hxx:1
AMS_32Jxx:32Jxx Compact analytic spaces:AMS_32:0
AMS_32J05:32J05 Compactification of analytic spaces:AMS_32Jxx:1
AMS_32J10:32J10 Algebraic dependence theorems:AMS_32Jxx:1
AMS_32J15:32J15 Compact surfaces:AMS_32Jxx:1
AMS_32J17:32J17 Compact $3$-folds:AMS_32Jxx:1
AMS_32J18:32J18 Compact $n$-folds:AMS_32Jxx:1
AMS_32J25:32J25 Transcendental methods of algebraic geometry:AMS_32Jxx:1
AMS_32J27:32J27 Compact K&auml;hler manifolds: generalizations, classification:AMS_32Jxx:1
AMS_32J81:32J81 Applications to physics:AMS_32Jxx:1
AMS_32J99:32J99 None of the above, but in this section:AMS_32Jxx:1
### Generalizations of analytic spaces  *** 
AMS_32Kxx:32Kxx Generalizations of analytic spaces :AMS_32:0
AMS_32K05:32K05 Banach analytic spaces:AMS_32Kxx:1
AMS_32K07:32K07 Formal and graded complex spaces:AMS_32Kxx:1
AMS_32K15:32K15 Differentiable functions on analytic spaces, differentiable spaces:AMS_32Kxx:1
AMS_32K99:32K99 None of the above, but in this section:AMS_32Kxx:1
AMS_32Lxx:32Lxx Holomorphic fiber spaces:AMS_32:0
AMS_32L05:32L05 Holomorphic bundles and generalizations:AMS_32Lxx:1
AMS_32L10:32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results:AMS_32Lxx:1
AMS_32L15:32L15 Bundle convexity:AMS_32Lxx:1
AMS_32L20:32L20 Vanishing theorems:AMS_32Lxx:1
AMS_32L25:32L25 Twistor theory, double fibrations:AMS_32Lxx:1
AMS_32L81:32L81 Applications to physics:AMS_32Lxx:1
AMS_32L99:32L99 None of the above, but in this section:AMS_32Lxx:1
AMS_32Mxx:32Mxx Complex spaces with a group of automorphisms:AMS_32:0
AMS_32M05:32M05 Complex Lie groups, automorphism groups acting on complex spaces:AMS_32Mxx:1
AMS_32M10:32M10 Homogeneous complex manifolds:AMS_32Mxx:1
AMS_32M12:32M12 Almost homogeneous manifolds and spaces:AMS_32Mxx:1
AMS_32M15:32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras:AMS_32Mxx:1
AMS_32M17:32M17 Automorphism groups of $:AMS_32Mxx:1
AMS_32M25:32M25 Complex vector fields:AMS_32Mxx:1
AMS_32M99:32M99 None of the above, but in this section:AMS_32Mxx:1
AMS_32Nxx:32Nxx Automorphic functions:AMS_32:0
AMS_32N05:32N05 General theory of automorphic functions of several complex variables:AMS_32Nxx:1
AMS_32N10:32N10 Automorphic forms:AMS_32Nxx:1
AMS_32N15:32N15 Automorphic functions in symmetric domains:AMS_32Nxx:1
AMS_32N99:32N99 None of the above, but in this section:AMS_32Nxx:1
AMS_32Qxx:32Qxx Complex manifolds:AMS_32:0
AMS_32Q05:32Q05 Negative curvature manifolds:AMS_32Qxx:1
AMS_32Q10:32Q10 Positive curvature manifolds:AMS_32Qxx:1
AMS_32Q15:32Q15 K&auml;hler manifolds:AMS_32Qxx:1
AMS_32Q20:32Q20 K&auml;hler-Einstein manifolds:AMS_32Qxx:1
AMS_32Q25:32Q25 Calabi-Yau theory:AMS_32Qxx:1
AMS_32Q28:32Q28 Stein manifolds:AMS_32Qxx:1
AMS_32Q30:32Q30 Uniformization:AMS_32Qxx:1
AMS_32Q35:32Q35 Complex manifolds as subdomains of Euclidean space:AMS_32Qxx:1
AMS_32Q40:32Q40 Embedding theorems:AMS_32Qxx:1
AMS_32Q45:32Q45 Hyperbolic and Kobayashi hyperbolic manifolds:AMS_32Qxx:1
AMS_32Q55:32Q55 Topological aspects of complex manifolds:AMS_32Qxx:1
AMS_32Q57:32Q57 Classification theorems:AMS_32Qxx:1
AMS_32Q60:32Q60 Almost complex manifolds:AMS_32Qxx:1
AMS_32Q65:32Q65 Pseudoholomorphic curves:AMS_32Qxx:1
AMS_32Q99:32Q99 None of the above, but in this section:AMS_32Qxx:1
AMS_32Sxx:32Sxx Singularities:AMS_32:0
AMS_32S05:32S05 Local singularities:AMS_32Sxx:1
AMS_32S10:32S10 Invariants of analytic local rings:AMS_32Sxx:1
AMS_32S15:32S15 Equisingularity (topological and analytic):AMS_32Sxx:1
AMS_32S20:32S20 Global theory of singularities; cohomological properties:AMS_32Sxx:1
AMS_32S22:32S22 Relations with arrangements of hyperplanes:AMS_32Sxx:1
AMS_32S25:32S25 Surface and hypersurface singularities:AMS_32Sxx:1
AMS_32S30:32S30 Deformations of singularities; vanishing cycles:AMS_32Sxx:1
AMS_32S35:32S35 Mixed Hodge theory of singular varieties:AMS_32Sxx:1
AMS_32S40:32S40 Monodromy; relations with differential equations and $D$-modules:AMS_32Sxx:1
AMS_32S45:32S45 Modifications; resolution of singularities:AMS_32Sxx:1
AMS_32S50:32S50 Topological aspects: Lefschetz theorems, topological classification, invariants:AMS_32Sxx:1
AMS_32S55:32S55 Milnor fibration; relations with knot theory:AMS_32Sxx:1
AMS_32S60:32S60 Stratifications; constructible sheaves; intersection cohomology:AMS_32Sxx:1
AMS_32S65:32S65 Singularities of holomorphic vector fields and foliations:AMS_32Sxx:1
AMS_32S70:32S70 Other operations on singularities:AMS_32Sxx:1
AMS_32S99:32S99 None of the above, but in this section:AMS_32Sxx:1
AMS_32Txx:32Txx Pseudoconvex domains:AMS_32:0
AMS_32T05:32T05 Domains of holomorphy:AMS_32Txx:1
AMS_32T15:32T15 Strongly pseudoconvex domains:AMS_32Txx:1
AMS_32T20:32T20 Worm domains:AMS_32Txx:1
AMS_32T25:32T25 Finite type domains:AMS_32Txx:1
AMS_32T27:32T27 Geometric and analytic invariants on weakly pseudoconvex boundaries:AMS_32Txx:1
AMS_32T35:32T35 Exhaustion functions:AMS_32Txx:1
AMS_32T40:32T40 Peak functions:AMS_32Txx:1
AMS_32T99:32T99 None of the above, but in this section:AMS_32Txx:1
AMS_32Uxx:32Uxx Pluripotential theory:AMS_32:0
AMS_32U05:32U05 Plurisubharmonic functions and generalizations:AMS_32Uxx:1
AMS_32U10:32U10 Plurisubharmonic exhaustion functions:AMS_32Uxx:1
AMS_32U15:32U15 General pluripotential theory:AMS_32Uxx:1
AMS_32U20:32U20 Capacity theory and generalizations:AMS_32Uxx:1
AMS_32U25:32U25 Lelong numbers:AMS_32Uxx:1
AMS_32U30:32U30 Removable sets:AMS_32Uxx:1
AMS_32U35:32U35 Pluricomplex Green functions:AMS_32Uxx:1
AMS_32U40:32U40 Currents:AMS_32Uxx:1
AMS_32U99:32U99 None of the above, but in this section:AMS_32Uxx:1
AMS_32Vxx:32Vxx $CR$ manifolds:AMS_32:0
AMS_32V05:32V05 CR structures, CR operators, and generalizations:AMS_32Vxx:1
AMS_32V10:32V10 CR functions:AMS_32Vxx:1
AMS_32V15:32V15 CR manifolds as boundaries of domains:AMS_32Vxx:1
AMS_32V20:32V20 Analysis on CR manifolds:AMS_32Vxx:1
AMS_32V25:32V25 Extension of functions and other analytic objects from CR manifolds:AMS_32Vxx:1
AMS_32V30:32V30 Embeddings of CR manifolds:AMS_32Vxx:1
AMS_32V35:32V35 Finite type conditions on CR manifolds:AMS_32Vxx:1
AMS_32V40:32V40 Real submanifolds in complex manifolds:AMS_32Vxx:1
AMS_32V99:32V99 None of the above, but in this section:AMS_32Vxx:1
AMS_32Wxx:32Wxx Differential operators in several variables:AMS_32:0
AMS_32W05:32W05 $\overline\partial$ and $\overline\partial$-Neumann operators:AMS_32Wxx:1
AMS_32W10:32W10 $\overline\partial_b$ and $\overline\partial_b$-Neumann operators:AMS_32Wxx:1
AMS_32W20:32W20 Complex Monge-Amp&egrave;re operators:AMS_32Wxx:1
AMS_32W25:32W25 Pseudodifferential operators in several complex variables:AMS_32Wxx:1
AMS_32W30:32W30 Heat kernels in several complex variables:AMS_32Wxx:1
AMS_32W50:32W50 Other partial differential equations of complex analysis:AMS_32Wxx:1
AMS_32W99:32W99 None of the above, but in this section:AMS_32Wxx:1
### Special functions  *** 
AMS_33:33-XX Special functions :AMS_3:0
AMS_33Bxx:33Bxx Elementary classical functions:AMS_33:0
AMS_33B10:33B10 Exponential and trigonometric functions:AMS_33Bxx:1
AMS_33B15:33B15 Gamma, beta and polygamma functions:AMS_33Bxx:1
AMS_33B20:33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals):AMS_33Bxx:1
AMS_33B30:33B30 Higher logarithm functions:AMS_33Bxx:1
AMS_33B99:33B99 None of the above, but in this section:AMS_33Bxx:1
AMS_33Cxx:33Cxx Hypergeometric functions:AMS_33:0
AMS_33C05:33C05 Classical hypergeometric functions, $_2F_1$:AMS_33Cxx:1
AMS_33C10:33C10 Bessel and Airy functions, cylinder functions, $_0F_1$:AMS_33Cxx:1
AMS_33C15:33C15 Confluent hypergeometric functions, Whittaker functions, $_1F_1$:AMS_33Cxx:1
AMS_33C20:33C20 Generalized hypergeometric series, $_pF_q$:AMS_33Cxx:1
AMS_33C45:33C45  Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.):AMS_33Cxx:1
AMS_33C47:33C47 Other special orthogonal polynomials and functions:AMS_33Cxx:1
AMS_33C50:33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable:AMS_33Cxx:1
AMS_33C52:33C52 Orthogonal polynomials and functions associated with root systems:AMS_33Cxx:1
AMS_33C55:33C55  Spherical harmonics:AMS_33Cxx:1
AMS_33C60:33C60 Hypergeometric integrals and functions defined by them ($E$, $G$ and $:AMS_33Cxx:1
AMS_33C65:33C65 Appell, Horn and Lauricella functions:AMS_33Cxx:1
AMS_33C67:33C67 Hypergeometric functions associated with root systems:AMS_33Cxx:1
AMS_33C70:33C70 Other hypergeometric functions and integrals in several variables:AMS_33Cxx:1
AMS_33C75:33C75 Elliptic integrals as hypergeometric functions:AMS_33Cxx:1
AMS_33C80:33C80 Connections with groups and algebras, and related topics:AMS_33Cxx:1
AMS_33C90:33C90 Applications:AMS_33Cxx:1
AMS_33C99:33C99 None of the above, but in this section:AMS_33Cxx:1
AMS_33Dxx:33Dxx Basic hypergeometric functions:AMS_33:0
AMS_33D05:33D05 $q$-gamma functions, $q$-beta functions and integrals:AMS_33Dxx:1
AMS_33D15:33D15 Basic hypergeometric functions in one variable, $:AMS_33Dxx:1
AMS_33D45:33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.):AMS_33Dxx:1
AMS_33D50:33D50 Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable:AMS_33Dxx:1
AMS_33D52:33D52 Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.):AMS_33Dxx:1
AMS_33D60:33D60 Basic hypergeometric integrals and functions defined by them:AMS_33Dxx:1
AMS_33D65:33D65 Bibasic functions and multiple bases:AMS_33Dxx:1
AMS_33D67:33D67 Basic hypergeometric functions associated with root systems:AMS_33Dxx:1
AMS_33D70:33D70 Other basic hypergeometric functions and integrals in several variables:AMS_33Dxx:1
AMS_33D80:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics:AMS_33Dxx:1
AMS_33D90:33D90 Applications:AMS_33Dxx:1
AMS_33D99:33D99 None of the above, but in this section:AMS_33Dxx:1
AMS_33Exx:33Exx Other special functions:AMS_33:0
AMS_33E05:33E05 Elliptic functions and integrals:AMS_33Exx:1
AMS_33E10:33E10 Lam&eacute;, Mathieu, and spheroidal wave functions:AMS_33Exx:1
AMS_33E12:33E12 Mittag-Leffler functions and generalizations:AMS_33Exx:1
AMS_33E15:33E15 Other wave functions:AMS_33Exx:1
AMS_33E17:33E17 Painlev&eacute;-type functions:AMS_33Exx:1
AMS_33E20:33E20 Other functions defined by series and integrals:AMS_33Exx:1
AMS_33E30:33E30 Other functions coming from differential, difference and integral equations:AMS_33Exx:1
AMS_33E50:33E50 Special functions in characteristic $p$ (gamma functions, etc.):AMS_33Exx:1
AMS_33E99:33E99 None of the above, but in this section:AMS_33Exx:1
AMS_33Fxx:33Fxx Computational aspects:AMS_33:0
AMS_33F05:33F05 Numerical approximation:AMS_33Fxx:1
AMS_33F10:33F10 Symbolic computation (Gosper and Zeilberger algorithms, etc.):AMS_33Fxx:1
AMS_33F99:33F99 None of the above, but in this section:AMS_33Fxx:1
AMS_34:34-XX Ordinary differential equations:AMS_3:0
AMS_34Axx:34Axx General theory:AMS_34:0
AMS_34A05:34A05 Explicit solutions and reductions:AMS_34Axx:1
AMS_34A09:34A09 Implicit equations, differential-algebraic equations:AMS_34Axx:1
AMS_34A12:34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions:AMS_34Axx:1
AMS_34A25:34A25 Analytical theory: series, transformations, transforms, operational calculus, etc.:AMS_34Axx:1
AMS_34A26:34A26 Geometric methods in differential equations:AMS_34Axx:1
AMS_34A30:34A30 Linear equations and systems, general:AMS_34Axx:1
AMS_34A34:34A34 Nonlinear equations and systems, general:AMS_34Axx:1
AMS_34A35:34A35 Differential equations of infinite order:AMS_34Axx:1
AMS_34A36:34A36 Discontinuous equations:AMS_34Axx:1
AMS_34A37:34A37 Differential equations with impulses:AMS_34Axx:1
AMS_34A40:34A40 Differential inequalities:AMS_34Axx:1
AMS_34A45:34A45 Theoretical approximation of solutions:AMS_34Axx:1
AMS_34A55:34A55 Inverse problems:AMS_34Axx:1
AMS_34A60:34A60 Differential inclusions:AMS_34Axx:1
AMS_34A99:34A99 None of the above, but in this section:AMS_34Axx:1
AMS_34Bxx:34Bxx Boundary value problems:AMS_34:0
AMS_34B05:34B05 Linear boundary value problems:AMS_34Bxx:1
AMS_34B07:34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter:AMS_34Bxx:1
AMS_34B08:34B08 Multi-parameter boundary value problems:AMS_34Bxx:1
AMS_34B09:34B09 Boundary value problems with an indefinite weight:AMS_34Bxx:1
AMS_34B10:34B10 Multipoint boundary value problems:AMS_34Bxx:1
AMS_34B15:34B15 Nonlinear boundary value problems:AMS_34Bxx:1
AMS_34B16:34B16 Singular nonlinear boundary value problems:AMS_34Bxx:1
AMS_34B18:34B18 Positive solutions of nonlinear boundary value problems:AMS_34Bxx:1
AMS_34B20:34B20 Weyl theory and its generalizations:AMS_34Bxx:1
AMS_34B24:34B24 Sturm-Liouville theory:AMS_34Bxx:1
AMS_34B27:34B27 Green functions:AMS_34Bxx:1
AMS_34B30:34B30 Special equations (Mathieu, Hill, Bessel, etc.):AMS_34Bxx:1
AMS_34B37:34B37 Boundary value problems with impulses:AMS_34Bxx:1
AMS_34B40:34B40 Boundary value problems on infinite intervals:AMS_34Bxx:1
AMS_34B45:34B45 Boundary value problems on graphs and networks:AMS_34Bxx:1
AMS_34B60:34B60 Applications:AMS_34Bxx:1
AMS_34B99:34B99 None of the above, but in this section:AMS_34Bxx:1
AMS_34Cxx:34Cxx Qualitative theory:AMS_34:0
AMS_34C05:34C05 Location of integral curves, singular points, limit cycles:AMS_34Cxx:1
AMS_34C07:34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications):AMS_34Cxx:1
AMS_34C08:34C08 Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.):AMS_34Cxx:1
AMS_34C10:34C10 Oscillation theory, zeros, disconjugacy and comparison theory:AMS_34Cxx:1
AMS_34C11:34C11 Growth, boundedness, comparison of solutions:AMS_34Cxx:1
AMS_34C12:34C12 Monotone systems:AMS_34Cxx:1
AMS_34C14:34C14 Symmetries, invariants:AMS_34Cxx:1
AMS_34C15:34C15 Nonlinear oscillations, coupled oscillators:AMS_34Cxx:1
AMS_34C20:34C20 Transformation and reduction of equations and systems, normal forms:AMS_34Cxx:1
AMS_34C23:34C23 Bifurcation:AMS_34Cxx:1
AMS_34C25:34C25 Periodic solutions:AMS_34Cxx:1
AMS_34C26:34C26 Relaxation oscillations:AMS_34Cxx:1
AMS_34C27:34C27 Almost periodic solutions:AMS_34Cxx:1
AMS_34C28:34C28 Complex behavior, chaotic systems:AMS_34Cxx:1
AMS_34C29:34C29 Averaging method:AMS_34Cxx:1
AMS_34C30:34C30 Manifolds of solutions:AMS_34Cxx:1
AMS_34C37:34C37 Homoclinic and heteroclinic solutions:AMS_34Cxx:1
AMS_34C40:34C40 Equations and systems on manifolds:AMS_34Cxx:1
AMS_34C41:34C41 Equivalence, asymptotic equivalence:AMS_34Cxx:1
AMS_34C45:34C45 Method of integral manifolds:AMS_34Cxx:1
AMS_34C55:34C55 Hysteresis:AMS_34Cxx:1
AMS_34C60:34C60 Applications:AMS_34Cxx:1
AMS_34C99:34C99 None of the above, but in this section:AMS_34Cxx:1
AMS_34Dxx:34Dxx Stability theory:AMS_34:0
AMS_34D05:34D05 Asymptotic properties:AMS_34Dxx:1
AMS_34D08:34D08 Characteristic and Lyapunov exponents:AMS_34Dxx:1
AMS_34D09:34D09 Dichotomy, trichotomy:AMS_34Dxx:1
AMS_34D10:34D10 Perturbations:AMS_34Dxx:1
AMS_34D15:34D15 Singular perturbations:AMS_34Dxx:1
AMS_34D20:34D20 Lyapunov stability:AMS_34Dxx:1
AMS_34D23:34D23 Global stability:AMS_34Dxx:1
AMS_34D30:34D30 Structural stability and analogous concepts:AMS_34Dxx:1
AMS_34D35:34D35 Stability of manifolds of solutions:AMS_34Dxx:1
AMS_34D40:34D40 Ultimate boundedness:AMS_34Dxx:1
AMS_34D45:34D45 Attractors:AMS_34Dxx:1
AMS_34D99:34D99 None of the above, but in this section:AMS_34Dxx:1
AMS_34Exx:34Exx Asymptotic theory:AMS_34:0
AMS_34E05:34E05 Asymptotic expansions:AMS_34Exx:1
AMS_34E10:34E10 Perturbations, asymptotics:AMS_34Exx:1
AMS_34E13:34E13 Multiple scale methods:AMS_34Exx:1
AMS_34E15:34E15 Singular perturbations, general theory:AMS_34Exx:1
AMS_34E18:34E18 Methods of nonstandard analysis:AMS_34Exx:1
AMS_34E20:34E20 Singular perturbations, turning point theory, WKB methods:AMS_34Exx:1
AMS_34E99:34E99 None of the above, but in this section:AMS_34Exx:1
AMS_34Gxx:34Gxx Differential equations in abstract spaces:AMS_34:0
AMS_34G10:34G10 Linear equations:AMS_34Gxx:1
AMS_34G20:34G20 Nonlinear equations:AMS_34Gxx:1
AMS_34G25:34G25 Evolution inclusions:AMS_34Gxx:1
AMS_34G99:34G99 None of the above, but in this section:AMS_34Gxx:1
AMS_34Kxx:34Kxx Functional-differential and differential-difference equations:AMS_34:0
AMS_34K05:34K05 General theory:AMS_34Kxx:1
AMS_34K06:34K06 Linear functional-differential equations:AMS_34Kxx:1
AMS_34K07:34K07 Theoretical approximation of solutions:AMS_34Kxx:1
AMS_34K10:34K10 Boundary value problems:AMS_34Kxx:1
AMS_34K11:34K11 Oscillation theory:AMS_34Kxx:1
AMS_34K12:34K12 Growth, boundedness, comparison of solutions:AMS_34Kxx:1
AMS_34K13:34K13 Periodic solutions:AMS_34Kxx:1
AMS_34K14:34K14 Almost periodic solutions:AMS_34Kxx:1
AMS_34K17:34K17 Transformation and reduction of equations and systems, normal forms:AMS_34Kxx:1
AMS_34K18:34K18 Bifurcation theory:AMS_34Kxx:1
AMS_34K19:34K19 Invariant manifolds:AMS_34Kxx:1
AMS_34K20:34K20 Stability theory:AMS_34Kxx:1
AMS_34K23:34K23 Complex (chaotic) behavior of solutions:AMS_34Kxx:1
AMS_34K25:34K25 Asymptotic theory:AMS_34Kxx:1
AMS_34K26:34K26 Singular perturbations:AMS_34Kxx:1
AMS_34K28:34K28 Numerical approximation of solutions:AMS_34Kxx:1
AMS_34K29:34K29 Inverse problems:AMS_34Kxx:1
AMS_34K30:34K30 Equations in abstract spaces:AMS_34Kxx:1
AMS_34K35:34K35 Control problems:AMS_34Kxx:1
AMS_34K40:34K40 Neutral equations:AMS_34Kxx:1
AMS_34K45:34K45 Equations with impulses:AMS_34Kxx:1
AMS_34K50:34K50 Stochastic delay equations:AMS_34Kxx:1
AMS_34K60:34K60 Applications:AMS_34Kxx:1
AMS_34K99:34K99 None of the above, but in this section:AMS_34Kxx:1
AMS_34Lxx:34Lxx Ordinary differential operators:AMS_34:0
AMS_34L05:34L05 General spectral theory:AMS_34Lxx:1
AMS_34L10:34L10 Eigenfunction expansions, completeness of eigenfunctions:AMS_34Lxx:1
AMS_34L15:34L15 Estimation of eigenvalues, upper and lower bounds:AMS_34Lxx:1
AMS_34L16:34L16 Numerical approximation of eigenvalues and of other parts of the spectrum:AMS_34Lxx:1
AMS_34L20:34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions:AMS_34Lxx:1
AMS_34L25:34L25 Scattering theory:AMS_34Lxx:1
AMS_34L30:34L30 Nonlinear ordinary differential operators:AMS_34Lxx:1
AMS_34L40:34L40 Particular operators (Dirac, one-dimensional Schr&ouml;dinger, etc.):AMS_34Lxx:1
AMS_34L99:34L99 None of the above, but in this section:AMS_34Lxx:1
AMS_34Mxx:34Mxx Differential equations in the complex domain:AMS_34:0
AMS_34M05:34M05 Entire and meromorphic solutions:AMS_34Mxx:1
AMS_34M10:34M10 Oscillation, growth of solutions:AMS_34Mxx:1
AMS_34M15:34M15 Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical):AMS_34Mxx:1
AMS_34M20:34M20 Nonanalytic aspects:AMS_34Mxx:1
AMS_34M25:34M25 Formal solutions, transform techniques:AMS_34Mxx:1
AMS_34M30:34M30 Asymptotics, summation methods:AMS_34Mxx:1
AMS_34M35:34M35 Singularities, monodromy, local behavior of solutions, normal forms:AMS_34Mxx:1
AMS_34M37:34M37 Resurgence phenomena:AMS_34Mxx:1
AMS_34M40:34M40 Stokes phenomena and connection problems (linear and nonlinear):AMS_34Mxx:1
AMS_34M45:34M45 Differential equations on complex manifolds:AMS_34Mxx:1
AMS_34M50:34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.):AMS_34Mxx:1
AMS_34M55:34M55 Painlev&eacute; and other special equations; classification, hierarchies; isomonodromic deformations:AMS_34Mxx:1
AMS_34M60:34M60 Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent):AMS_34Mxx:1
AMS_34M99:34M99 None of the above, but in this section:AMS_34Mxx:1
AMS_35:35-XX Partial differential equations:AMS_3:0
AMS_35Axx:35Axx General theory:AMS_35:0
AMS_35A05:35A05 General existence and uniqueness theorems:AMS_35Axx:1
AMS_35A07:35A07 Local existence and uniqueness theorems:AMS_35Axx:1
AMS_35A08:35A08 Fundamental solutions:AMS_35Axx:1
AMS_35A10:35A10 Cauchy-Kovalevskaya theorems:AMS_35Axx:1
AMS_35A15:35A15 Variational methods:AMS_35Axx:1
AMS_35A17:35A17 Parametrices:AMS_35Axx:1
AMS_35A18:35A18 Wave front sets:AMS_35Axx:1
AMS_35A20:35A20 Analytic methods, singularities:AMS_35Axx:1
AMS_35A21:35A21 Propagation of singularities:AMS_35Axx:1
AMS_35A22:35A22 Transform methods (e.g. integral transforms):AMS_35Axx:1
AMS_35A25:35A25 Other special methods:AMS_35Axx:1
AMS_35A27:35A27 Microlocal methods; methods of sheaf theory and homological algebra in PDE:AMS_35Axx:1
AMS_35A30:35A30 Geometric theory, characteristics, transformations:AMS_35Axx:1
AMS_35A35:35A35 Theoretical approximation to solutions:AMS_35Axx:1
AMS_35A99:35A99 None of the above, but in this section:AMS_35Axx:1
AMS_35Bxx:35Bxx Qualitative properties of solutions:AMS_35:0
AMS_35B05:35B05 General behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value theorems):AMS_35Bxx:1
AMS_35B10:35B10 Periodic solutions:AMS_35Bxx:1
AMS_35B15:35B15 Almost periodic solutions:AMS_35Bxx:1
AMS_35B20:35B20 Perturbations:AMS_35Bxx:1
AMS_35B25:35B25 Singular perturbations:AMS_35Bxx:1
AMS_35B27:35B27 Homogenization; partial differential equations in media with periodic structure:AMS_35Bxx:1
AMS_35B30:35B30 Dependence of solutions of PDE on initial and boundary data, parameters:AMS_35Bxx:1
AMS_35B32:35B32 Bifurcation:AMS_35Bxx:1
AMS_35B33:35B33 Critical exponents:AMS_35Bxx:1
AMS_35B34:35B34 Resonances:AMS_35Bxx:1
AMS_35B35:35B35 Stability, boundedness:AMS_35Bxx:1
AMS_35B37:35B37 PDE in connection with control problems:AMS_35Bxx:1
AMS_35B38:35B38 Critical points:AMS_35Bxx:1
AMS_35B40:35B40 Asymptotic behavior of solutions:AMS_35Bxx:1
AMS_35B41:35B41 Attractors:AMS_35Bxx:1
AMS_35B42:35B42 Inertial manifolds:AMS_35Bxx:1
AMS_35B45:35B45 A priori estimates:AMS_35Bxx:1
AMS_35B50:35B50 Maximum principles:AMS_35Bxx:1
AMS_35B60:35B60 Continuation and prolongation of solutions of PDE:AMS_35Bxx:1
AMS_35B65:35B65 Smoothness and regularity of solutions of PDE:AMS_35Bxx:1
AMS_35B99:35B99 None of the above, but in this section:AMS_35Bxx:1
AMS_35Cxx:35Cxx Representations of solutions:AMS_35:0
AMS_35C05:35C05 Solutions in closed form:AMS_35Cxx:1
AMS_35C10:35C10 Series solutions, expansion theorems:AMS_35Cxx:1
AMS_35C15:35C15 Integral representations of solutions of PDE:AMS_35Cxx:1
AMS_35C20:35C20 Asymptotic expansions:AMS_35Cxx:1
AMS_35C99:35C99 None of the above, but in this section:AMS_35Cxx:1
AMS_35Dxx:35Dxx Generalized solutions of partial differential equations:AMS_35:0
AMS_35D05:35D05 Existence of generalized solutions:AMS_35Dxx:1
AMS_35D10:35D10 Regularity of generalized solutions:AMS_35Dxx:1
AMS_35D99:35D99 None of the above, but in this section:AMS_35Dxx:1
AMS_35Exx:35Exx Equations and systems with constant coefficients:AMS_35:0
AMS_35E05:35E05 Fundamental solutions:AMS_35Exx:1
AMS_35E10:35E10 Convexity properties:AMS_35Exx:1
AMS_35E15:35E15 Initial value problems:AMS_35Exx:1
AMS_35E20:35E20 General theory:AMS_35Exx:1
AMS_35E99:35E99 None of the above, but in this section:AMS_35Exx:1
AMS_35Fxx:35Fxx General first-order equations and systems:AMS_35:0
AMS_35F05:35F05 General theory of linear first-order PDE:AMS_35Fxx:1
AMS_35F10:35F10 Initial value problems for linear first-order PDE, linear evolution equations:AMS_35Fxx:1
AMS_35F15:35F15 Boundary value problems for linear first-order PDE:AMS_35Fxx:1
AMS_35F20:35F20 General theory of nonlinear first-order PDE:AMS_35Fxx:1
AMS_35F25:35F25 Initial value problems for nonlinear first-order PDE, nonlinear evolution equations:AMS_35Fxx:1
AMS_35F30:35F30 Boundary value problems for nonlinear first-order PDE:AMS_35Fxx:1
AMS_35F99:35F99 None of the above, but in this section:AMS_35Fxx:1
AMS_35Gxx:35Gxx General higher-order equations and systems:AMS_35:0
AMS_35G05:35G05 General theory of linear higher-order PDE:AMS_35Gxx:1
AMS_35G10:35G10 Initial value problems for linear higher-order PDE, linear evolution equations:AMS_35Gxx:1
AMS_35G15:35G15 Boundary value problems for linear higher-order PDE:AMS_35Gxx:1
AMS_35G20:35G20 General theory of nonlinear higher-order PDE:AMS_35Gxx:1
AMS_35G25:35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations:AMS_35Gxx:1
AMS_35G30:35G30 Boundary value problems for nonlinear higher-order PDE:AMS_35Gxx:1
AMS_35G99:35G99 None of the above, but in this section:AMS_35Gxx:1
AMS_35Hxx:35Hxx Close-to-elliptic equations:AMS_35:0
AMS_35H10:35H10 Hypoelliptic equations:AMS_35Hxx:1
AMS_35H20:35H20 Subelliptic equations:AMS_35Hxx:1
AMS_35H30:35H30 Quasi-elliptic equations:AMS_35Hxx:1
AMS_35H99:35H99 None of the above, but in this section:AMS_35Hxx:1
AMS_35Jxx:35Jxx Partial differential equations of elliptic type:AMS_35:0
AMS_35J05:35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation:AMS_35Jxx:1
AMS_35J10:35J10 Schr&ouml;dinger operator:AMS_35Jxx:1
AMS_35J15:35J15 General theory of second-order, elliptic equations:AMS_35Jxx:1
AMS_35J20:35J20 Variational methods for second-order, elliptic equations:AMS_35Jxx:1
AMS_35J25:35J25 Boundary value problems for second-order, elliptic equations:AMS_35Jxx:1
AMS_35J30:35J30 General theory of higher-order, elliptic equations:AMS_35Jxx:1
AMS_35J35:35J35 Variational methods for higher-order, elliptic equations:AMS_35Jxx:1
AMS_35J40:35J40 Boundary value problems for higher-order, elliptic equations:AMS_35Jxx:1
AMS_35J45:35J45 General theory of elliptic systems of PDE:AMS_35Jxx:1
AMS_35J50:35J50 Variational methods for elliptic systems:AMS_35Jxx:1
AMS_35J55:35J55 Boundary value problems for elliptic systems:AMS_35Jxx:1
AMS_35J60:35J60 Nonlinear PDE of elliptic type:AMS_35Jxx:1
AMS_35J65:35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE:AMS_35Jxx:1
AMS_35J67:35J67 Boundary values of solutions to elliptic PDE:AMS_35Jxx:1
AMS_35J70:35J70 Elliptic partial differential equations of degenerate type:AMS_35Jxx:1
AMS_35J85:35J85 Unilateral problems and variational inequalities for elliptic PDE:AMS_35Jxx:1
AMS_35J99:35J99 None of the above, but in this section:AMS_35Jxx:1
AMS_35Kxx:35Kxx Parabolic equations and systems:AMS_35:0
AMS_35K05:35K05 Heat equation:AMS_35Kxx:1
AMS_35K10:35K10 General theory of second-order, parabolic equations:AMS_35Kxx:1
AMS_35K15:35K15 Initial value problems for second-order, parabolic equations:AMS_35Kxx:1
AMS_35K20:35K20 Boundary value problems for second-order, parabolic equations:AMS_35Kxx:1
AMS_35K25:35K25 General theory of higher-order, parabolic equations:AMS_35Kxx:1
AMS_35K30:35K30 Initial value problems for higher-order, parabolic equations:AMS_35Kxx:1
AMS_35K35:35K35 Boundary value problems for higher-order, parabolic equations:AMS_35Kxx:1
AMS_35K40:35K40 General theory of parabolic systems of PDE:AMS_35Kxx:1
AMS_35K45:35K45 Initial value problems for parabolic systems:AMS_35Kxx:1
AMS_35K50:35K50 Boundary value problems for parabolic systems:AMS_35Kxx:1
AMS_35K55:35K55 Nonlinear PDE of parabolic type:AMS_35Kxx:1
AMS_35K57:35K57 Reaction-diffusion equations:AMS_35Kxx:1
AMS_35K60:35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE:AMS_35Kxx:1
AMS_35K65:35K65 Parabolic partial differential equations of degenerate type:AMS_35Kxx:1
AMS_35K70:35K70 Ultraparabolic, pseudoparabolic PDE, etc.:AMS_35Kxx:1
AMS_35K85:35K85 Unilateral problems and variational inequalities for parabolic PDE:AMS_35Kxx:1
AMS_35K90:35K90 Abstract parabolic evolution equations:AMS_35Kxx:1
AMS_35K99:35K99 None of the above, but in this section:AMS_35Kxx:1
AMS_35Lxx:35Lxx Partial differential equations of hyperbolic type:AMS_35:0
AMS_35L05:35L05 Wave equation:AMS_35Lxx:1
AMS_35L10:35L10 General theory of second-order, hyperbolic equations:AMS_35Lxx:1
AMS_35L15:35L15 Initial value problems for second-order, hyperbolic equations:AMS_35Lxx:1
AMS_35L20:35L20 Boundary value problems for second-order, hyperbolic equations:AMS_35Lxx:1
AMS_35L25:35L25 General theory of higher-order, hyperbolic equations:AMS_35Lxx:1
AMS_35L30:35L30 Initial value problems for higher-order, hyperbolic equations:AMS_35Lxx:1
AMS_35L35:35L35 Boundary value problems for higher-order, hyperbolic equations:AMS_35Lxx:1
AMS_35L40:35L40 General theory of hyperbolic systems of first-order PDE:AMS_35Lxx:1
AMS_35L45:35L45 Initial value problems for hyperbolic systems of first-order PDE:AMS_35Lxx:1
AMS_35L50:35L50 Boundary value problems for hyperbolic systems of first-order PDE:AMS_35Lxx:1
AMS_35L55:35L55 Hyperbolic systems of higher-order PDE:AMS_35Lxx:1
AMS_35L60:35L60 Nonlinear first-order PDE of hyperbolic type:AMS_35Lxx:1
AMS_35L65:35L65 Conservation laws:AMS_35Lxx:1
AMS_35L67:35L67 Shocks and singularities:AMS_35Lxx:1
AMS_35L70:35L70 Nonlinear second-order PDE of hyperbolic type:AMS_35Lxx:1
AMS_35L75:35L75 Nonlinear hyperbolic PDE of higher ($\gtr 2$) order:AMS_35Lxx:1
AMS_35L80:35L80 Hyperbolic PDE of degenerate type:AMS_35Lxx:1
AMS_35L82:35L82 Pseudohyperbolic equations:AMS_35Lxx:1
AMS_35L85:35L85 Unilateral problems; variational inequalities for hyperbolic PDE:AMS_35Lxx:1
AMS_35L90:35L90 Abstract hyperbolic evolution equations:AMS_35Lxx:1
AMS_35L99:35L99 None of the above, but in this section:AMS_35Lxx:1
AMS_35Mxx:35Mxx Partial differential equations of special type (mixed, composite, etc.):AMS_35:0
AMS_35M10:35M10 PDE of mixed type:AMS_35Mxx:1
AMS_35M20:35M20 PDE of composite type:AMS_35Mxx:1
AMS_35M99:35M99 None of the above, but in this section:AMS_35Mxx:1
AMS_35Nxx:35Nxx Overdetermined systems:AMS_35:0
AMS_35N05:35N05 Overdetermined systems with constant coefficients:AMS_35Nxx:1
AMS_35N10:35N10 Overdetermined systems with variable coefficients (general):AMS_35Nxx:1
AMS_35N15:35N15 $\overline\partial$-Neumann problem and generalizations; formal complexes:AMS_35Nxx:1
AMS_35N99:35N99 None of the above, but in this section:AMS_35Nxx:1
AMS_35Pxx:35Pxx Spectral theory and eigenvalue problems for partial differential operators:AMS_35:0
AMS_35P05:35P05 General spectral theory of PDE:AMS_35Pxx:1
AMS_35P10:35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO:AMS_35Pxx:1
AMS_35P15:35P15 Estimation of eigenvalues, upper and lower bounds:AMS_35Pxx:1
AMS_35P20:35P20 Asymptotic distribution of eigenvalues and eigenfunctions for PDO:AMS_35Pxx:1
AMS_35P25:35P25 Scattering theory for PDE:AMS_35Pxx:1
AMS_35P30:35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO:AMS_35Pxx:1
AMS_35P99:35P99 None of the above, but in this section:AMS_35Pxx:1
AMS_35Qxx:35Qxx Equations of mathematical physics and other areas of application:AMS_35:0
AMS_35Q05:35Q05 Euler-Poisson-Darboux equation and generalizations:AMS_35Qxx:1
AMS_35Q15:35Q15 Riemann-Hilbert problems:AMS_35Qxx:1
AMS_35Q30:35Q30 Stokes and Navier-Stokes equations:AMS_35Qxx:1
AMS_35Q35:35Q35 Other equations arising in fluid mechanics:AMS_35Qxx:1
AMS_35Q40:35Q40 Equations from quantum mechanics:AMS_35Qxx:1
AMS_35Q51:35Q51 Solitons:AMS_35Qxx:1
AMS_35Q53:35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.):AMS_35Qxx:1
AMS_35Q55:35Q55 NLS-like (nonlinear Schr&ouml;dinger) equations:AMS_35Qxx:1
AMS_35Q58:35Q58 Other completely integrable equations:AMS_35Qxx:1
AMS_35Q60:35Q60 Equations of electromagnetic theory and optics:AMS_35Qxx:1
AMS_35Q72:35Q72 Other equations from mechanics:AMS_35Qxx:1
AMS_35Q75:35Q75 PDE in relativity:AMS_35Qxx:1
AMS_35Q80:35Q80 Applications of PDE in areas other than physics:AMS_35Qxx:1
AMS_35Q99:35Q99 None of the above, but in this section:AMS_35Qxx:1
AMS_35Rxx:35Rxx Miscellaneous topics involving partial differential equations:AMS_35:0
AMS_35R05:35R05 PDE with discontinuous coefficients or data:AMS_35Rxx:1
AMS_35R10:35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments:AMS_35Rxx:1
AMS_35R12:35R12 Impulsive partial differential equations:AMS_35Rxx:1
AMS_35R15:35R15 Partial differential equations on infinite-dimensional (e.g. function) spaces (= PDE in infinitely many variables):AMS_35Rxx:1
AMS_35R20:35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions):AMS_35Rxx:1
AMS_35R25:35R25 Improperly posed problems for PDE:AMS_35Rxx:1
AMS_35R30:35R30 Inverse problems (undetermined coefficients, etc.) for PDE:AMS_35Rxx:1
AMS_35R35:35R35 Free boundary problems for PDE:AMS_35Rxx:1
AMS_35R45:35R45 Partial differential inequalities:AMS_35Rxx:1
AMS_35R50:35R50 Partial differential equations of infinite order:AMS_35Rxx:1
AMS_35R60:35R60 Partial differential equations with randomness:AMS_35Rxx:1
AMS_35R70:35R70 PDE with multivalued right-hand sides:AMS_35Rxx:1
AMS_35R99:35R99 None of the above, but in this section:AMS_35Rxx:1
AMS_35Sxx:35Sxx Pseudodifferential operators and other generalizations of partial differential operators:AMS_35:0
AMS_35S05:35S05 General theory of PsDO:AMS_35Sxx:1
AMS_35S10:35S10 Initial value problems for PsDO:AMS_35Sxx:1
AMS_35S15:35S15 Boundary value problems for PsDO:AMS_35Sxx:1
AMS_35S30:35S30 Fourier integral operators:AMS_35Sxx:1
AMS_35S35:35S35 Topological aspects: intersection cohomology, stratified sets, etc.:AMS_35Sxx:1
AMS_35S50:35S50 Paradifferential operators:AMS_35Sxx:1
AMS_35S99:35S99 None of the above, but in this section:AMS_35Sxx:1
AMS_37:37-XX Dynamical systems and ergodic theory:AMS_3:0
AMS_37Axx:37Axx Ergodic theory:AMS_37:0
AMS_37A05:37A05 Measure-preserving transformations:AMS_37Axx:1
AMS_37A10:37A10 One-parameter continuous families of measure-preserving transformations:AMS_37Axx:1
AMS_37A15:37A15 General groups of measure-preserving transformations:AMS_37Axx:1
AMS_37A17:37A17 Homogeneous flows:AMS_37Axx:1
AMS_37A20:37A20 Orbit equivalence, cocycles, ergodic equivalence relations:AMS_37Axx:1
AMS_37A25:37A25 Ergodicity, mixing, rates of mixing:AMS_37Axx:1
AMS_37A30:37A30 Ergodic theorems, spectral theory, Markov operators:AMS_37Axx:1
AMS_37A35:37A35 Entropy and other invariants, isomorphism, classification:AMS_37Axx:1
AMS_37A40:37A40 Nonsingular (and infinite-measure preserving) transformations:AMS_37Axx:1
AMS_37A45:37A45 Relations with number theory and harmonic analysis:AMS_37Axx:1
AMS_37A50:37A50 Relations with probability theory and stochastic processes:AMS_37Axx:1
AMS_37A55:37A55 Relations with the theory of $C^*$-algebras:AMS_37Axx:1
AMS_37A60:37A60 Dynamical systems in statistical mechanics:AMS_37Axx:1
AMS_37A99:37A99 None of the above, but in this section:AMS_37Axx:1
AMS_37Bxx:37Bxx Topological dynamics:AMS_37:0
AMS_37B05:37B05 Transformations and group actions with special properties (minimality, distality, proximality, etc.):AMS_37Bxx:1
AMS_37B10:37B10 Symbolic dynamics:AMS_37Bxx:1
AMS_37B15:37B15 Cellular automata:AMS_37Bxx:1
AMS_37B20:37B20 Notions of recurrence:AMS_37Bxx:1
AMS_37B25:37B25 Lyapunov functions and stability; attractors, repellers:AMS_37Bxx:1
AMS_37B30:37B30 Index theory, Morse-Conley indices:AMS_37Bxx:1
AMS_37B35:37B35 Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets:AMS_37Bxx:1
AMS_37B40:37B40 Topological entropy:AMS_37Bxx:1
AMS_37B45:37B45 Continua theory in dynamics:AMS_37Bxx:1
AMS_37B50:37B50 Multi-dimensional shifts of finite type, tiling dynamics:AMS_37Bxx:1
AMS_37B55:37B55 Nonautonomous dynamical systems:AMS_37Bxx:1
AMS_37B99:37B99 None of the above, but in this section:AMS_37Bxx:1
AMS_37Cxx:37Cxx Smooth dynamical systems: general theory:AMS_37:0
AMS_37C05:37C05 Smooth mappings and diffeomorphisms:AMS_37Cxx:1
AMS_37C10:37C10 Vector fields, flows, ordinary differential equations:AMS_37Cxx:1
AMS_37C15:37C15 Topological and differentiable equivalence, conjugacy, invariants, moduli, classification:AMS_37Cxx:1
AMS_37C20:37C20 Generic properties, structural stability:AMS_37Cxx:1
AMS_37C25:37C25 Fixed points, periodic points, fixed-point index theory:AMS_37Cxx:1
AMS_37C27:37C27 Periodic orbits of vector fields and flows:AMS_37Cxx:1
AMS_37C29:37C29 Homoclinic and heteroclinic orbits:AMS_37Cxx:1
AMS_37C30:37C30 Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems:AMS_37Cxx:1
AMS_37C35:37C35 Orbit growth:AMS_37Cxx:1
AMS_37C40:37C40 Smooth ergodic theory, invariant measures:AMS_37Cxx:1
AMS_37C45:37C45 Dimension theory of dynamical systems:AMS_37Cxx:1
AMS_37C50:37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.):AMS_37Cxx:1
AMS_37C55:37C55 Periodic and quasiperiodic flows and diffeomorphisms:AMS_37Cxx:1
AMS_37C60:37C60 Nonautonomous smooth dynamical systems:AMS_37Cxx:1
AMS_37C65:37C65 Monotone flows:AMS_37Cxx:1
AMS_37C70:37C70 Attractors and repellers, topological structure:AMS_37Cxx:1
AMS_37C75:37C75 Stability theory:AMS_37Cxx:1
AMS_37C80:37C80 Symmetries, equivariant dynamical systems:AMS_37Cxx:1
AMS_37C85:37C85 Dynamics of group actions other than <B>Z</B> and <B>R</B>, and foliations:AMS_37Cxx:1
AMS_37C99:37C99 None of the above, but in this section:AMS_37Cxx:1
AMS_37Dxx:37Dxx Dynamical systems with hyperbolic behavior:AMS_37:0
AMS_37D05:37D05 Hyperbolic orbits and sets:AMS_37Dxx:1
AMS_37D10:37D10 Invariant manifold theory:AMS_37Dxx:1
AMS_37D15:37D15 Morse-Smale systems:AMS_37Dxx:1
AMS_37D20:37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.):AMS_37Dxx:1
AMS_37D25:37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.):AMS_37Dxx:1
AMS_37D30:37D30 Partially hyperbolic systems and dominated splittings:AMS_37Dxx:1
AMS_37D35:37D35 Thermodynamic formalism, variational principles, equilibrium states:AMS_37Dxx:1
AMS_37D40:37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.):AMS_37Dxx:1
AMS_37D45:37D45 Strange attractors, chaotic dynamics:AMS_37Dxx:1
AMS_37D50:37D50 Hyperbolic systems with singularities (billiards, etc.):AMS_37Dxx:1
AMS_37D99:37D99 None of the above, but in this section:AMS_37Dxx:1
AMS_37Exx:37Exx Low-dimensional dynamical systems:AMS_37:0
AMS_37E05:37E05 Maps of the interval (piecewise continuous, continuous, smooth):AMS_37Exx:1
AMS_37E10:37E10 Maps of the circle:AMS_37Exx:1
AMS_37E15:37E15 Combinatorial dynamics (types of periodic orbits):AMS_37Exx:1
AMS_37E20:37E20 Universality, renormalization:AMS_37Exx:1
AMS_37E25:37E25 Maps of trees and graphs:AMS_37Exx:1
AMS_37E30:37E30 Homeomorphisms and diffeomorphisms of planes and surfaces:AMS_37Exx:1
AMS_37E35:37E35 Flows on surfaces:AMS_37Exx:1
AMS_37E40:37E40 Twist maps:AMS_37Exx:1
AMS_37E45:37E45 Rotation numbers and vectors:AMS_37Exx:1
AMS_37E99:37E99 None of the above, but in this section:AMS_37Exx:1
AMS_37Fxx:37Fxx Complex dynamical systems:AMS_37:0
AMS_37F05:37F05 Relations and correspondences:AMS_37Fxx:1
AMS_37F10:37F10 Polynomials; rational maps; entire and meromorphic functions:AMS_37Fxx:1
AMS_37F15:37F15 Expanding maps; hyperbolicity; structural stability:AMS_37Fxx:1
AMS_37F20:37F20 Combinatorics and topology:AMS_37Fxx:1
AMS_37F25:37F25 Renormalization:AMS_37Fxx:1
AMS_37F30:37F30 Quasiconformal methods and Teichm&uuml;ller theory; Fuchsian and Kleinian groups as dynamical systems:AMS_37Fxx:1
AMS_37F35:37F35 Conformal densities and Hausdorff dimension:AMS_37Fxx:1
AMS_37F40:37F40 Geometric limits:AMS_37Fxx:1
AMS_37F45:37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations:AMS_37Fxx:1
AMS_37F50:37F50 Small divisors, rotation domains and linearization; Fatou and Julia sets:AMS_37Fxx:1
AMS_37F75:37F75 Holomorphic foliations and vector fields:AMS_37Fxx:1
AMS_37F99:37F99 None of the above, but in this section:AMS_37Fxx:1
AMS_37Gxx:37Gxx Local and global bifurcation theory:AMS_37:0
AMS_37G05:37G05 Normal forms:AMS_37Gxx:1
AMS_37G10:37G10 Bifurcations of singular points:AMS_37Gxx:1
AMS_37G15:37G15 Bifurcations of limit cycles and periodic orbits:AMS_37Gxx:1
AMS_37G20:37G20 Hyperbolic singular points with homoclinic trajectories:AMS_37Gxx:1
AMS_37G25:37G25 Bifurcations connected with nontransversal intersection:AMS_37Gxx:1
AMS_37G30:37G30 Infinite nonwandering sets arising in bifurcations:AMS_37Gxx:1
AMS_37G35:37G35 Attractors and their bifurcations:AMS_37Gxx:1
AMS_37G40:37G40 Symmetries, equivariant bifurcation theory:AMS_37Gxx:1
AMS_37G99:37G99 None of the above, but in this section:AMS_37Gxx:1
AMS_37Hxx:37Hxx Random dynamical systems:AMS_37:0
AMS_37H05:37H05 Foundations, general theory of cocycles, algebraic ergodic theory:AMS_37Hxx:1
AMS_37H10:37H10 Generation, random and stochastic difference and differential equations:AMS_37Hxx:1
AMS_37H15:37H15 Multiplicative ergodic theory, Lyapunov exponents:AMS_37Hxx:1
AMS_37H20:37H20 Bifurcation theory:AMS_37Hxx:1
AMS_37H99:37H99 None of the above, but in this section:AMS_37Hxx:1
AMS_37Jxx:37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems:AMS_37:0
AMS_37J05:37J05 General theory, relations with symplectic geometry and topology:AMS_37Jxx:1
AMS_37J10:37J10 Symplectic mappings, fixed points:AMS_37Jxx:1
AMS_37J15:37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction:AMS_37Jxx:1
AMS_37J20:37J20 Bifurcation problems:AMS_37Jxx:1
AMS_37J25:37J25 Stability problems:AMS_37Jxx:1
AMS_37J30:37J30 Obstructions to integrability (nonintegrability criteria):AMS_37Jxx:1
AMS_37J35:37J35 Completely integrable systems, topological structure of phase space, integration methods:AMS_37Jxx:1
AMS_37J40:37J40 Perturbations, normal forms, small divisors, KAM theory, Arnold diffusion:AMS_37Jxx:1
AMS_37J45:37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods:AMS_37Jxx:1
AMS_37J50:37J50 Action-minimizing orbits and measures:AMS_37Jxx:1
AMS_37J55:37J55 Contact systems:AMS_37Jxx:1
AMS_37J60:37J60 Nonholonomic dynamical systems:AMS_37Jxx:1
AMS_37J99:37J99 None of the above, but in this section:AMS_37Jxx:1
AMS_37Kxx:37Kxx Infinite-dimensional Hamiltonian systems:AMS_37:0
AMS_37K05:37K05 Hamiltonian structures, symmetries, variational principles, conservation laws:AMS_37Kxx:1
AMS_37K10:37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.):AMS_37Kxx:1
AMS_37K15:37K15 Integration of completely integrable systems by inverse spectral and scattering methods:AMS_37Kxx:1
AMS_37K20:37K20 Relations with algebraic geometry, complex analysis, special functions:AMS_37Kxx:1
AMS_37K25:37K25 Relations with differential geometry:AMS_37Kxx:1
AMS_37K30:37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures:AMS_37Kxx:1
AMS_37K35:37K35 Lie-B&auml;cklund and other transformations:AMS_37Kxx:1
AMS_37K40:37K40 Soliton theory, asymptotic behavior of solutions:AMS_37Kxx:1
AMS_37K45:37K45 Stability problems:AMS_37Kxx:1
AMS_37K50:37K50 Bifurcation problems:AMS_37Kxx:1
AMS_37K55:37K55 Perturbations, KAM for infinite-dimensional systems:AMS_37Kxx:1
AMS_37K60:37K60 Lattice dynamics:AMS_37Kxx:1
AMS_37K65:37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics:AMS_37Kxx:1
AMS_37K99:37K99 None of the above, but in this section:AMS_37Kxx:1
AMS_37Lxx:37Lxx Infinite-dimensional dissipative dynamical systems:AMS_37:0
AMS_37L05:37L05 General theory, nonlinear semigroups, evolution equations:AMS_37Lxx:1
AMS_37L10:37L10 Normal forms, center manifold theory, bifurcation theory:AMS_37Lxx:1
AMS_37L15:37L15 Stability problems:AMS_37Lxx:1
AMS_37L20:37L20 Symmetries:AMS_37Lxx:1
AMS_37L25:37L25 Inertial manifolds and other invariant attracting sets:AMS_37Lxx:1
AMS_37L30:37L30 Attractors and their dimensions, Lyapunov exponents:AMS_37Lxx:1
AMS_37L40:37L40 Invariant measures:AMS_37Lxx:1
AMS_37L45:37L45 Hyperbolicity; Lyapunov functions:AMS_37Lxx:1
AMS_37L50:37L50 Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems:AMS_37Lxx:1
AMS_37L55:37L55 Infinite-dimensional random dynamical systems; stochastic equations:AMS_37Lxx:1
AMS_37L60:37L60 Lattice dynamics:AMS_37Lxx:1
AMS_37L65:37L65 Special approximation methods (nonlinear Galerkin, etc.):AMS_37Lxx:1
AMS_37L99:37L99 None of the above, but in this section:AMS_37Lxx:1
AMS_37Mxx:37Mxx Approximation methods and numerical treatment of dynamical systems:AMS_37:0
AMS_37M05:37M05 Simulation:AMS_37Mxx:1
AMS_37M10:37M10 Time series analysis:AMS_37Mxx:1
AMS_37M15:37M15 Symplectic integrators:AMS_37Mxx:1
AMS_37M20:37M20 Computational methods for bifurcation problems:AMS_37Mxx:1
AMS_37M25:37M25 Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy):AMS_37Mxx:1
AMS_37M99:37M99 None of the above, but in this section:AMS_37Mxx:1
AMS_37Nxx:37Nxx Applications:AMS_37:0
AMS_37N05:37N05 Dynamical systems in classical and celestial mechanics:AMS_37Nxx:1
AMS_37N10:37N10 Dynamical systems in fluid mechanics, oceanography and meteorology:AMS_37Nxx:1
AMS_37N15:37N15 Dynamical systems in solid mechanics:AMS_37Nxx:1
AMS_37N20:37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics):AMS_37Nxx:1
AMS_37N25:37N25 Dynamical systems in biology:AMS_37Nxx:1
AMS_37N30:37N30 Dynamical systems in numerical analysis:AMS_37Nxx:1
AMS_37N35:37N35 Dynamical systems in control:AMS_37Nxx:1
AMS_37N40:37N40 Dynamical systems in optimization and economics:AMS_37Nxx:1
AMS_37N99:37N99 None of the above, but in this section:AMS_37Nxx:1
AMS_39:39-XX Difference and functional equations:AMS_3:0
AMS_39Axx:39Axx Difference equations:AMS_39:0
AMS_39A05:39A05 General:AMS_39Axx:1
AMS_39A10:39A10 Difference equations, additive:AMS_39Axx:1
AMS_39A11:39A11 Stability and asymptotics of difference equations; oscillatory and periodic solutions, etc.:AMS_39Axx:1
AMS_39A12:39A12 Discrete version of topics in analysis:AMS_39Axx:1
AMS_39A13:39A13 Difference equations, scaling ($q$-differences):AMS_39Axx:1
AMS_39A20:39A20 Multiplicative and other generalized difference equations, e.g. of Lyness type:AMS_39Axx:1
AMS_39A70:39A70 Difference operators:AMS_39Axx:1
AMS_39A99:39A99 None of the above, but in this section:AMS_39Axx:1
AMS_39Bxx:39Bxx Functional equations and inequalities:AMS_39:0
AMS_39B05:39B05 General:AMS_39Bxx:1
AMS_39B12:39B12 Iteration theory, iterative and composite equations:AMS_39Bxx:1
AMS_39B22:39B22 Equations for real functions:AMS_39Bxx:1
AMS_39B32:39B32 Equations for complex functions:AMS_39Bxx:1
AMS_39B42:39B42 Matrix and operator equations:AMS_39Bxx:1
AMS_39B52:39B52 Equations for functions with more general domains and/or ranges:AMS_39Bxx:1
AMS_39B55:39B55 Orthogonal additivity and other conditional equations:AMS_39Bxx:1
AMS_39B62:39B62 Functional inequalities, including subadditivity, convexity, etc.:AMS_39Bxx:1
AMS_39B72:39B72 Systems of functional equations and inequalities:AMS_39Bxx:1
AMS_39B82:39B82 Stability, separation, extension, and related topics:AMS_39Bxx:1
AMS_39B99:39B99 None of the above, but in this section:AMS_39Bxx:1
AMS_40:40-XX Sequences, series, summability:AMS_4:0
AMS_40Axx:40Axx Convergence and divergence of infinite limiting processes:AMS_40:0
AMS_40A05:40A05 Convergence and divergence of series and sequences:AMS_40Axx:1
AMS_40A10:40A10 Convergence and divergence of integrals:AMS_40Axx:1
AMS_40A15:40A15 Convergence and divergence of continued fractions:AMS_40Axx:1
AMS_40A20:40A20 Convergence and divergence of infinite products:AMS_40Axx:1
AMS_40A25:40A25 Approximation to limiting values (summation of series, etc.):AMS_40Axx:1
AMS_40A30:40A30 Convergence and divergence of series and sequences of functions:AMS_40Axx:1
AMS_40A99:40A99 None of the above, but in this section:AMS_40Axx:1
AMS_40Cxx:40Cxx General summability methods:AMS_40:0
AMS_40C05:40C05 Matrix methods:AMS_40Cxx:1
AMS_40C10:40C10 Integral methods:AMS_40Cxx:1
AMS_40C15:40C15 Function-theoretic methods (including power series methods and semicontinuous methods):AMS_40Cxx:1
AMS_40C99:40C99 None of the above, but in this section:AMS_40Cxx:1
AMS_40Dxx:40Dxx Direct theorems on summability:AMS_40:0
AMS_40D05:40D05 General theorems:AMS_40Dxx:1
AMS_40D09:40D09 Structure of summability fields:AMS_40Dxx:1
AMS_40D10:40D10 Tauberian constants and oscillation limits:AMS_40Dxx:1
AMS_40D15:40D15 Convergence factors and summability factors:AMS_40Dxx:1
AMS_40D20:40D20 Summability and bounded fields of methods:AMS_40Dxx:1
AMS_40D25:40D25 Inclusion and equivalence theorems:AMS_40Dxx:1
AMS_40D99:40D99 None of the above, but in this section:AMS_40Dxx:1
AMS_40Exx:40Exx Inversion theorems:AMS_40:0
AMS_40E05:40E05 Tauberian theorems, general:AMS_40Exx:1
AMS_40E10:40E10 Growth estimates:AMS_40Exx:1
AMS_40E15:40E15 Lacunary inversion theorems:AMS_40Exx:1
AMS_40E20:40E20 Tauberian constants:AMS_40Exx:1
AMS_40E99:40E99 None of the above, but in this section:AMS_40Exx:1
AMS_40Gxx:40Gxx Special methods of summability:AMS_40:0
AMS_40G05:40G05 Ces&agrave;ro, Euler, N&ouml;rlund and Hausdorff methods:AMS_40Gxx:1
AMS_40G10:40G10 Abel, Borel and power series methods:AMS_40Gxx:1
AMS_40G99:40G99 None of the above, but in this section:AMS_40Gxx:1
AMS_41:41-XX Approximations and expansions:AMS_4:0
AMS_42:42-XX Fourier analysis:AMS_4:0
AMS_42Axx:42Axx Fourier analysis in one variable:AMS_42:0
AMS_42A05:42A05 Trigonometric polynomials, inequalities, extremal problems:AMS_42Axx:1
AMS_42A10:42A10 Trigonometric approximation:AMS_42Axx:1
AMS_42A15:42A15 Trigonometric interpolation:AMS_42Axx:1
AMS_42A16:42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series:AMS_42Axx:1
AMS_42A20:42A20 Convergence and absolute convergence of Fourier and trigonometric series:AMS_42Axx:1
AMS_42A24:42A24 Summability and absolute summability of Fourier and trigonometric series:AMS_42Axx:1
AMS_42A32:42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.):AMS_42Axx:1
AMS_42A38:42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type:AMS_42Axx:1
AMS_42A45:42A45 Multipliers:AMS_42Axx:1
AMS_42A50:42A50 Conjugate functions, conjugate series, singular integrals:AMS_42Axx:1
AMS_42A55:42A55 Lacunary series of trigonometric and other functions; Riesz products:AMS_42Axx:1
AMS_42A61:42A61 Probabilistic methods:AMS_42Axx:1
AMS_42A63:42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization:AMS_42Axx:1
AMS_42A65:42A65 Completeness of sets of functions:AMS_42Axx:1
AMS_42A70:42A70 Trigonometric moment problems:AMS_42Axx:1
AMS_42A75:42A75 Classical almost periodic functions, mean periodic functions:AMS_42Axx:1
AMS_42A82:42A82 Positive definite functions:AMS_42Axx:1
AMS_42A85:42A85 Convolution, factorization:AMS_42Axx:1
AMS_42A99:42A99 None of the above, but in this section:AMS_42Axx:1
AMS_42Bxx:42Bxx Fourier analysis in several variables:AMS_42:0
AMS_42B05:42B05 Fourier series and coefficients:AMS_42Bxx:1
AMS_42B08:42B08 Summability:AMS_42Bxx:1
AMS_42B10:42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type:AMS_42Bxx:1
AMS_42B15:42B15 Multipliers:AMS_42Bxx:1
AMS_42B20:42B20 Singular integrals (Calder&oacute;n-Zygmund, etc.):AMS_42Bxx:1
AMS_42B25:42B25 Maximal functions, Littlewood-Paley theory:AMS_42Bxx:1
AMS_42B30:42B30 $H^p$-spaces:AMS_42Bxx:1
AMS_42B35:42B35 Function spaces arising in harmonic analysis:AMS_42Bxx:1
AMS_42B99:42B99 None of the above, but in this section:AMS_42Bxx:1
AMS_42Cxx:42Cxx Nontrigonometric Fourier analysis:AMS_42:0
AMS_42C05:42C05 Orthogonal functions and polynomials, general theory:AMS_42Cxx:1
AMS_42C10:42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.):AMS_42Cxx:1
AMS_42C15:42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions:AMS_42Cxx:1
AMS_42C20:42C20 Rearrangements and other transformations of Fourier and other orthogonal series:AMS_42Cxx:1
AMS_42C25:42C25 Uniqueness and localization for orthogonal series:AMS_42Cxx:1
AMS_42C30:42C30 Completeness of sets of functions:AMS_42Cxx:1
AMS_42C40:42C40 Wavelets:AMS_42Cxx:1
AMS_42C99:42C99 None of the above, but in this section:AMS_42Cxx:1
AMS_43:43-XX Abstract harmonic analysis:AMS_4:0
AMS_44:44-XX Integral transforms, operational calculus:AMS_4:0
AMS_45:45-XX Integral equations:AMS_4:0
AMS_45Exx:45Exx Singular integral equations:AMS_45:0
AMS_45E05:45E05 Integral equations with kernels of Cauchy type:AMS_45Exx:1
AMS_45E10:45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type):AMS_45Exx:1
AMS_45E99:45E99 None of the above, but in this section:AMS_45Exx:1
AMS_45Fxx:45Fxx Systems of linear integral equations:AMS_45:0
AMS_45F05:45F05 Systems of nonsingular linear integral equations:AMS_45Fxx:1
AMS_45F10:45F10 Dual, triple, etc., integral and series equations:AMS_45Fxx:1
AMS_45F15:45F15 Systems of singular linear integral equations:AMS_45Fxx:1
AMS_45F99:45F99 None of the above, but in this section:AMS_45Fxx:1
AMS_45Gxx:45Gxx Nonlinear integral equations:AMS_45:0
AMS_45G05:45G05 Singular nonlinear integral equations:AMS_45Gxx:1
AMS_45G10:45G10 Other nonlinear integral equations:AMS_45Gxx:1
AMS_45G15:45G15 Systems of nonlinear integral equations:AMS_45Gxx:1
AMS_45Mxx:45Mxx Qualitative behavior:AMS_45:0
AMS_45M05:45M05 Asymptotics:AMS_45Mxx:1
AMS_45M10:45M10 Stability theory:AMS_45Mxx:1
AMS_45M15:45M15 Periodic solutions:AMS_45Mxx:1
AMS_45M20:45M20 Positive solutions:AMS_45Mxx:1
AMS_45M99:45M99 None of the above, but in this section:AMS_45Mxx:1
AMS_46:46-XX Functional analysis:AMS_4:0
AMS_46Axx:46Axx Topological linear spaces and related structures:AMS_46:0
AMS_46A03:46A03 General theory of locally convex spaces:AMS_46Axx:1
AMS_46A04:46A04 Locally convex Fr&eacute;chet spaces and (DF)-spaces:AMS_46Axx:1
AMS_46A08:46A08 Barrelled spaces, bornological spaces:AMS_46Axx:1
AMS_46A11:46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.):AMS_46Axx:1
AMS_46A13:46A13 Spaces defined by inductive or projective limits (LB, LF, etc.):AMS_46Axx:1
AMS_46A16:46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.):AMS_46Axx:1
AMS_46A17:46A17 Bornologies and related structures; Mackey convergence, etc.:AMS_46Axx:1
AMS_46A19:46A19 Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $:AMS_46Axx:1
AMS_46A20:46A20 Duality theory:AMS_46Axx:1
AMS_46A22:46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators:AMS_46Axx:1
AMS_46A25:46A25 Reflexivity and semi-reflexivity:AMS_46Axx:1
AMS_46A30:46A30 Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness):AMS_46Axx:1
AMS_46A32:46A32 Spaces of linear operators; topological tensor products; approximation properties:AMS_46Axx:1
AMS_46A35:46A35 Summability and bases:AMS_46Axx:1
AMS_46A40:46A40 Ordered topological linear spaces, vector lattices:AMS_46Axx:1
AMS_46A45:46A45 Sequence spaces (including K&ouml;the sequence spaces):AMS_46Axx:1
AMS_46A50:46A50 Compactness in topological linear spaces; angelic spaces, etc.:AMS_46Axx:1
AMS_46A55:46A55 Convex sets in topological linear spaces; Choquet theory:AMS_46Axx:1
AMS_46A61:46A61 Graded Fr&eacute;chet spaces and tame operators:AMS_46Axx:1
AMS_46A63:46A63 Topological invariants ((DN), ($\Omega$), etc.):AMS_46Axx:1
AMS_46A70:46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.):AMS_46Axx:1
AMS_46A80:46A80 Modular spaces:AMS_46Axx:1
AMS_46A99:46A99 None of the above, but in this section:AMS_46Axx:1
AMS_46Bxx:46Bxx Normed linear spaces and Banach spaces; Banach lattices:AMS_46:0
AMS_46B03:46B03 Isomorphic theory (including renorming) of Banach spaces:AMS_46Bxx:1
AMS_46B04:46B04 Isometric theory of Banach spaces:AMS_46Bxx:1
AMS_46B07:46B07 Local theory of Banach spaces:AMS_46Bxx:1
AMS_46B08:46B08 Ultraproduct techniques in Banach space theory:AMS_46Bxx:1
AMS_46B09:46B09 Probabilistic methods in Banach space theory:AMS_46Bxx:1
AMS_46B10:46B10 Duality and reflexivity:AMS_46Bxx:1
AMS_46B15:46B15 Summability and bases:AMS_46Bxx:1
AMS_46B20:46B20 Geometry and structure of normed linear spaces:AMS_46Bxx:1
AMS_46B22:46B22 Radon-Nikodym, Krein-Milman and related properties:AMS_46Bxx:1
AMS_46B25:46B25 Classical Banach spaces in the general theory:AMS_46Bxx:1
AMS_46B26:46B26 Nonseparable Banach spaces:AMS_46Bxx:1
AMS_46B28:46B28 Spaces of operators; tensor products; approximation properties:AMS_46Bxx:1
AMS_46B40:46B40 Ordered normed spaces:AMS_46Bxx:1
AMS_46B42:46B42 Banach lattices:AMS_46Bxx:1
AMS_46B45:46B45 Banach sequence spaces:AMS_46Bxx:1
AMS_46B50:46B50 Compactness in Banach (or normed) spaces:AMS_46Bxx:1
AMS_46B70:46B70 Interpolation between normed linear spaces:AMS_46Bxx:1
AMS_46B99:46B99 None of the above, but in this section:AMS_46Bxx:1
AMS_46Cxx:46Cxx Inner product spaces and their generalizations, Hilbert spaces:AMS_46:0
AMS_46C05:46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product):AMS_46Cxx:1
AMS_46C07:46C07 Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.):AMS_46Cxx:1
AMS_46C15:46C15 Characterizations of Hilbert spaces:AMS_46Cxx:1
AMS_46C20:46C20 Spaces with indefinite inner product (Krein spaces, Pontryagin spaces, etc.):AMS_46Cxx:1
AMS_46C50:46C50 Generalizations of inner products (semi-inner products, partial inner products, etc.):AMS_46Cxx:1
AMS_46C99:46C99 None of the above, but in this section:AMS_46Cxx:1
AMS_46Exx:46Exx Linear function spaces and their duals:AMS_46:0
AMS_46E05:46E05 Lattices of continuous, differentiable or analytic functions:AMS_46Exx:1
AMS_46E10:46E10 Topological linear spaces of continuous, differentiable or analytic functions:AMS_46Exx:1
AMS_46E15:46E15 Banach spaces of continuous, differentiable or analytic functions:AMS_46Exx:1
AMS_46E20:46E20 Hilbert spaces of continuous, differentiable or analytic functions:AMS_46Exx:1
AMS_46E22:46E22 Hilbert spaces with reproducing kernels (=:AMS_46Exx:1
AMS_46E25:46E25 Rings and algebras of continuous, differentiable or analytic functions:AMS_46Exx:1
AMS_46E27:46E27 Spaces of measures:AMS_46Exx:1
AMS_46E30:46E30 Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, K&ouml;the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.):AMS_46Exx:1
AMS_46E35:46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems:AMS_46Exx:1
AMS_46E39:46E39 Sobolev (and similar kinds of) spaces of functions of discrete variables:AMS_46Exx:1
AMS_46E40:46E40 Spaces of vector- and operator-valued functions:AMS_46Exx:1
AMS_46E50:46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces:AMS_46Exx:1
AMS_46E99:46E99 None of the above, but in this section:AMS_46Exx:1
AMS_46Fxx:46Fxx Distributions, generalized functions, distribution spaces:AMS_46:0
AMS_46F05:46F05 Topological linear spaces of test functions, distributions and ultradistributions:AMS_46Fxx:1
AMS_46F10:46F10 Operations with distributions:AMS_46Fxx:1
AMS_46F12:46F12 Integral transforms in distribution spaces:AMS_46Fxx:1
AMS_46F15:46F15 Hyperfunctions, analytic functionals:AMS_46Fxx:1
AMS_46F20:46F20 Distributions and ultradistributions as boundary values of analytic functions:AMS_46Fxx:1
AMS_46F25:46F25 Distributions on infinite-dimensional spaces:AMS_46Fxx:1
AMS_46F30:46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.):AMS_46Fxx:1
AMS_46F99:46F99 None of the above, but in this section:AMS_46Fxx:1
AMS_46Gxx:46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces):AMS_46:0
AMS_46G05:46G05 Derivatives:AMS_46Gxx:1
AMS_46G10:46G10 Vector-valued measures and integration:AMS_46Gxx:1
AMS_46G12:46G12 Measures and integration on abstract linear spaces:AMS_46Gxx:1
AMS_46G15:46G15 Functional analytic lifting theory:AMS_46Gxx:1
AMS_46G20:46G20 Infinite-dimensional holomorphy:AMS_46Gxx:1
AMS_46G25:46G25 (Spaces of) multilinear mappings, polynomials:AMS_46Gxx:1
AMS_46G99:46G99 None of the above, but in this section:AMS_46Gxx:1
AMS_46Hxx:46Hxx Topological algebras, normed rings and algebras, Banach algebras:AMS_46:0
AMS_46H05:46H05 General theory of topological algebras:AMS_46Hxx:1
AMS_46H10:46H10 Ideals and subalgebras:AMS_46Hxx:1
AMS_46H15:46H15 Representations of topological algebras:AMS_46Hxx:1
AMS_46H20:46H20 Structure, classification of topological algebras:AMS_46Hxx:1
AMS_46H25:46H25 Normed modules and Banach modules, topological modules (if not placed in <A HREF="http:13-XX.html">13-XX</A> or <A HREF="http:16-XX.html">16-XX</A>):AMS_46Hxx:1
AMS_46H30:46H30 Functional calculus in topological algebras:AMS_46Hxx:1
AMS_46H35:46H35 Topological algebras of operators:AMS_46Hxx:1
AMS_46H40:46H40 Automatic continuity:AMS_46Hxx:1
AMS_46H70:46H70 Nonassociative topological algebras:AMS_46Hxx:1
AMS_46H99:46H99 None of the above, but in this section:AMS_46Hxx:1
AMS_46Jxx:46Jxx Commutative Banach algebras and commutative topological algebras:AMS_46:0
AMS_46J05:46J05 General theory of commutative topological algebras:AMS_46Jxx:1
AMS_46J10:46J10 Banach algebras of continuous functions, function algebras:AMS_46Jxx:1
AMS_46J15:46J15 Banach algebras of differentiable or analytic functions, $:AMS_46Jxx:1
AMS_46J20:46J20 Ideals, maximal ideals, boundaries:AMS_46Jxx:1
AMS_46J25:46J25 Representations of commutative topological algebras:AMS_46Jxx:1
AMS_46J30:46J30 Subalgebras:AMS_46Jxx:1
AMS_46J40:46J40 Structure, classification of commutative topological algebras:AMS_46Jxx:1
AMS_46J45:46J45 Radical Banach algebras:AMS_46Jxx:1
AMS_46J99:46J99 None of the above, but in this section:AMS_46Jxx:1
AMS_46Kxx:46Kxx Topological (rings and) algebras with an involution:AMS_46:0
AMS_46K05:46K05 General theory of topological algebras with involution:AMS_46Kxx:1
AMS_46K10:46K10 Representations of topological algebras with involution:AMS_46Kxx:1
AMS_46K15:46K15 Hilbert algebras:AMS_46Kxx:1
AMS_46K50:46K50 Nonselfadjoint (sub)algebras in algebras with involution:AMS_46Kxx:1
AMS_46K70:46K70 Nonassociative topological algebras with an involution:AMS_46Kxx:1
AMS_46K99:46K99 None of the above, but in this section:AMS_46Kxx:1
AMS_46Lxx:46Lxx Selfadjoint operator algebras ($C^*$-algebras, von_Neumann ($W^*$-) algebras, etc.):AMS_46:0
AMS_46L05:46L05 General theory of $C^*$-algebras:AMS_46Lxx:1
AMS_46L06:46L06 Tensor products of $C^*$-algebras:AMS_46Lxx:1
AMS_46L07:46L07 Operator spaces and completely bounded maps:AMS_46Lxx:1
AMS_46L08:46L08 $C^*$-modules:AMS_46Lxx:1
AMS_46L09:46L09 Free products of $C^*$-algebras:AMS_46Lxx:1
AMS_46L10:46L10 General theory of von Neumann algebras:AMS_46Lxx:1
AMS_46L30:46L30 States:AMS_46Lxx:1
AMS_46L35:46L35 Classifications of $C^*$-algebras, factors:AMS_46Lxx:1
AMS_46L37:46L37 Subfactors and their classification:AMS_46Lxx:1
AMS_46L40:46L40 Automorphisms:AMS_46Lxx:1
AMS_46L45:46L45 Decomposition theory for $C^*$-algebras:AMS_46Lxx:1
AMS_46L51:46L51 Noncommutative measure and integration:AMS_46Lxx:1
AMS_46L52:46L52 Noncommutative function spaces:AMS_46Lxx:1
AMS_46L53:46L53 Noncommutative probability and statistics:AMS_46Lxx:1
AMS_46L54:46L54 Free probability and free operator algebras:AMS_46Lxx:1
AMS_46L55:46L55 Noncommutative dynamical systems:AMS_46Lxx:1
AMS_46L57:46L57 Derivations, dissipations and positive semigroups in $C^*$-algebras:AMS_46Lxx:1
AMS_46L60:46L60 Applications of selfadjoint operator algebras to physics:AMS_46Lxx:1
AMS_46L65:46L65 Quantizations, deformations:AMS_46Lxx:1
AMS_46L70:46L70 Nonassociative selfadjoint operator algebras:AMS_46Lxx:1
AMS_46L80:46L80 $K$-theory and operator algebras (including cyclic theory):AMS_46Lxx:1
AMS_46L85:46L85 Noncommutative topology:AMS_46Lxx:1
AMS_46L87:46L87 Noncommutative differential geometry:AMS_46Lxx:1
AMS_46L89:46L89 Other ``noncommutative'' mathematics based on $C^*$-algebra theory:AMS_46Lxx:1
AMS_46L99:46L99 None of the above, but in this section:AMS_46Lxx:1
AMS_46Mxx:46Mxx Methods of category theory in functional analysis:AMS_46:0
AMS_46M05:46M05 Tensor products:AMS_46Mxx:1
AMS_46M07:46M07 Ultraproducts:AMS_46Mxx:1
AMS_46M10:46M10 Projective and injective objects:AMS_46Mxx:1
AMS_46M15:46M15 Categories, functors:AMS_46Mxx:1
AMS_46M18:46M18 Homological methods (exact sequences, right inverses, lifting, etc.):AMS_46Mxx:1
AMS_46M20:46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.):AMS_46Mxx:1
AMS_46M35:46M35 Abstract interpolation of topological vector spaces:AMS_46Mxx:1
AMS_46M40:46M40 Inductive and projective limits:AMS_46Mxx:1
AMS_46M99:46M99 None of the above, but in this section:AMS_46Mxx:1
AMS_46Nxx:46Nxx Miscellaneous applications of functional analysis:AMS_46:0
AMS_46N10:46N10 Applications in optimization, convex analysis, mathematical programming, economics:AMS_46Nxx:1
AMS_46N20:46N20 Applications to differential and integral equations:AMS_46Nxx:1
AMS_46N30:46N30 Applications in probability theory and statistics:AMS_46Nxx:1
AMS_46N40:46N40 Applications in numerical analysis:AMS_46Nxx:1
AMS_46N50:46N50 Applications in quantum physics:AMS_46Nxx:1
AMS_46N55:46N55 Applications in statistical physics:AMS_46Nxx:1
AMS_46N60:46N60 Applications in biology and other sciences:AMS_46Nxx:1
AMS_46N99:46N99 None of the above, but in this section:AMS_46Nxx:1
AMS_46Sxx:46Sxx Other (nonclassical) types of functional analysis:AMS_46:0
AMS_46S10:46S10 Functional analysis over fields other than <B>R</B> or <B>C</B> or the quaternions; non-Archimedean functional analysis:AMS_46Sxx:1
AMS_46S20:46S20 Nonstandard functional analysis:AMS_46Sxx:1
AMS_46S30:46S30 Constructive functional analysis:AMS_46Sxx:1
AMS_46S40:46S40 Fuzzy functional analysis:AMS_46Sxx:1
AMS_46S50:46S50 Functional analysis in probabilistic metric linear spaces:AMS_46Sxx:1
AMS_46S60:46S60 Functional analysis on superspaces (supermanifolds) or graded spaces:AMS_46Sxx:1
AMS_46S99:46S99 None of the above, but in this section:AMS_46Sxx:1
AMS_46Txx:46Txx Nonlinear functional analysis:AMS_46:0
AMS_46T05:46T05 Infinite-dimensional manifolds:AMS_46Txx:1
AMS_46T10:46T10 Manifolds of mappings:AMS_46Txx:1
AMS_46T12:46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds:AMS_46Txx:1
AMS_46T20:46T20 Continuous and differentiable maps:AMS_46Txx:1
AMS_46T25:46T25 Holomorphic maps:AMS_46Txx:1
AMS_46T30:46T30 Distributions and generalized functions on nonlinear spaces:AMS_46Txx:1
AMS_46T99:46T99 None of the above, but in this section:AMS_46Txx:1
AMS_47:47-XX Operator theory:AMS_4:0
AMS_47Axx:47Axx General theory of linear operators:AMS_47:0
AMS_47A05:47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.):AMS_47Axx:1
AMS_47A06:47A06 Linear relations (multivalued linear operators):AMS_47Axx:1
AMS_47A07:47A07 Forms (bilinear, sesquilinear, multilinear):AMS_47Axx:1
AMS_47A10:47A10 Spectrum, resolvent:AMS_47Axx:1
AMS_47A11:47A11 Local spectral properties:AMS_47Axx:1
AMS_47A12:47A12 Numerical range, numerical radius:AMS_47Axx:1
AMS_47A13:47A13 Several-variable operator theory (spectral, Fredholm, etc.):AMS_47Axx:1
AMS_47A15:47A15 Invariant subspaces:AMS_47Axx:1
AMS_47A16:47A16 Cyclic and hypercyclic vectors:AMS_47Axx:1
AMS_47A20:47A20 Dilations, extensions, compressions:AMS_47Axx:1
AMS_47A25:47A25 Spectral sets:AMS_47Axx:1
AMS_47A30:47A30 Norms (inequalities, more than one norm, etc.):AMS_47Axx:1
AMS_47A35:47A35 Ergodic theory:AMS_47Axx:1
AMS_47A40:47A40 Scattering theory:AMS_47Axx:1
AMS_47A45:47A45 Canonical models for contractions and nonselfadjoint operators:AMS_47Axx:1
AMS_47A46:47A46 Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.:AMS_47Axx:1
AMS_47A48:47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc.:AMS_47Axx:1
AMS_47A50:47A50 Equations and inequalities involving linear operators, with vector unknowns:AMS_47Axx:1
AMS_47A52:47A52 Ill-posed problems, regularization:AMS_47Axx:1
AMS_47A53:47A53 (Semi-) Fredholm operators; index theories:AMS_47Axx:1
AMS_47A55:47A55 Perturbation theory:AMS_47Axx:1
AMS_47A56:47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones):AMS_47Axx:1
AMS_47A57:47A57 Operator methods in interpolation, moment and extension problems:AMS_47Axx:1
AMS_47A58:47A58 Operator approximation theory:AMS_47Axx:1
AMS_47A60:47A60 Functional calculus:AMS_47Axx:1
AMS_47A62:47A62 Equations involving linear operators, with operator unknowns:AMS_47Axx:1
AMS_47A63:47A63 Operator inequalities:AMS_47Axx:1
AMS_47A64:47A64 Operator means, shorted operators, etc.:AMS_47Axx:1
AMS_47A65:47A65 Structure theory:AMS_47Axx:1
AMS_47A66:47A66 Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators:AMS_47Axx:1
AMS_47A67:47A67 Representation theory:AMS_47Axx:1
AMS_47A68:47A68 Factorization theory (including Wiener-Hopf and spectral factorizations):AMS_47Axx:1
AMS_47A70:47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces:AMS_47Axx:1
AMS_47A75:47A75 Eigenvalue problems:AMS_47Axx:1
AMS_47A80:47A80 Tensor products of operators:AMS_47Axx:1
AMS_47A99:47A99 None of the above, but in this section:AMS_47Axx:1
AMS_47Bxx:47Bxx Special classes of linear operators:AMS_47:0
AMS_47B06:47B06 Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators:AMS_47Bxx:1
AMS_47B07:47B07 Operators defined by compactness properties:AMS_47Bxx:1
AMS_47B10:47B10 Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.):AMS_47Bxx:1
AMS_47B15:47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.):AMS_47Bxx:1
AMS_47B20:47B20 Subnormal operators, hyponormal operators, etc.:AMS_47Bxx:1
AMS_47B25:47B25 Symmetric and selfadjoint operators (unbounded):AMS_47Bxx:1
AMS_47B32:47B32 Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces):AMS_47Bxx:1
AMS_47B33:47B33 Composition operators:AMS_47Bxx:1
AMS_47B34:47B34 Kernel operators:AMS_47Bxx:1
AMS_47B35:47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators:AMS_47Bxx:1
AMS_47B36:47B36 Jacobi (tridiagonal) operators (matrices) and generalizations:AMS_47Bxx:1
AMS_47B37:47B37 Operators on special spaces (weighted shifts, operators on sequence spaces, etc.):AMS_47Bxx:1
AMS_47B38:47B38 Operators on function spaces (general):AMS_47Bxx:1
AMS_47B39:47B39 Difference operators:AMS_47Bxx:1
AMS_47B40:47B40 Spectral operators, decomposable operators, well-bounded operators, etc.:AMS_47Bxx:1
AMS_47B44:47B44 Accretive operators, dissipative operators, etc.:AMS_47Bxx:1
AMS_47B47:47B47 Commutators, derivations, elementary operators, etc.:AMS_47Bxx:1
AMS_47B48:47B48 Operators on Banach algebras:AMS_47Bxx:1
AMS_47B49:47B49 Transformers (= operators on spaces of operators):AMS_47Bxx:1
AMS_47B50:47B50 Operators on spaces with an indefinite metric:AMS_47Bxx:1
AMS_47B60:47B60 Operators on ordered spaces:AMS_47Bxx:1
AMS_47B65:47B65 Positive operators and order-bounded operators:AMS_47Bxx:1
AMS_47B80:47B80 Random operators:AMS_47Bxx:1
AMS_47B99:47B99 None of the above, but in this section:AMS_47Bxx:1
AMS_47Cxx:47Cxx Individual linear operators as elements of algebraic systems:AMS_47:0
AMS_47C05:47C05 Operators in algebras:AMS_47Cxx:1
AMS_47C10:47C10 Operators in $^*$-algebras:AMS_47Cxx:1
AMS_47C15:47C15 Operators in $C^*$- or von Neumann algebras:AMS_47Cxx:1
AMS_47C99:47C99 None of the above, but in this section:AMS_47Cxx:1
AMS_47Dxx:47Dxx Groups and semigroups of linear operators, their generalizations and applications:AMS_47:0
AMS_47D03:47D03 Groups and semigroups of linear operators:AMS_47Dxx:1
AMS_47D06:47D06 One-parameter semigroups and linear evolution equations:AMS_47Dxx:1
AMS_47D07:47D07 Markov semigroups and applications to diffusion processes:AMS_47Dxx:1
AMS_47D08:47D08 Schr&ouml;dinger and Feynman-Kac semigroups:AMS_47Dxx:1
AMS_47D09:47D09 Operator sine and cosine functions and higher-order Cauchy problems:AMS_47Dxx:1
AMS_47D60:47D60 $C$-semigroups:AMS_47Dxx:1
AMS_47D62:47D62 Integrated semigroups:AMS_47Dxx:1
AMS_47D99:47D99 None of the above, but in this section:AMS_47Dxx:1
AMS_47Gxx:47Gxx Integral, integro-differential, and pseudodifferential operators:AMS_47:0
AMS_47G10:47G10 Integral operators:AMS_47Gxx:1
AMS_47G20:47G20 Integro-differential operators:AMS_47Gxx:1
AMS_47G30:47G30 Pseudodifferential operators:AMS_47Gxx:1
AMS_47G99:47G99 None of the above, but in this section:AMS_47Gxx:1
AMS_47Hxx:47Hxx Nonlinear operators and their properties:AMS_47:0
AMS_47H04:47H04 Set-valued operators:AMS_47Hxx:1
AMS_47H05:47H05 Monotone operators (with respect to duality):AMS_47Hxx:1
AMS_47H06:47H06 Accretive operators, dissipative operators, etc.:AMS_47Hxx:1
AMS_47H07:47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces:AMS_47Hxx:1
AMS_47H09:47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.):AMS_47Hxx:1
AMS_47H10:47H10 Fixed-point theorems:AMS_47Hxx:1
AMS_47H11:47H11 Degree theory:AMS_47Hxx:1
AMS_47H14:47H14 Perturbations of nonlinear operators:AMS_47Hxx:1
AMS_47H20:47H20 Semigroups of nonlinear operators:AMS_47Hxx:1
AMS_47H30:47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskii, Uryson, etc.):AMS_47Hxx:1
AMS_47H40:47H40 Random operators:AMS_47Hxx:1
AMS_47H50:47H50 Potential operators:AMS_47Hxx:1
AMS_47H60:47H60 Multilinear and polynomial operators:AMS_47Hxx:1
AMS_47H99:47H99 None of the above, but in this section:AMS_47Hxx:1
AMS_47Jxx:47Jxx Equations and inequalities involving linear operators:AMS_47:0
AMS_47J05:47J05 Equations involving nonlinear operators (general):AMS_47Jxx:1
AMS_47J06:47J06 Nonlinear ill-posed problems:AMS_47Jxx:1
AMS_47J07:47J07 Abstract inverse mapping and implicit function theorems:AMS_47Jxx:1
AMS_47J10:47J10 Nonlinear eigenvalue problems:AMS_47Jxx:1
AMS_47J15:47J15 Abstract bifurcation theory:AMS_47Jxx:1
AMS_47J20:47J20 Variational and other types of inequalities involving nonlinear operators (general):AMS_47Jxx:1
AMS_47J25:47J25 Methods for solving nonlinear operator equations (general):AMS_47Jxx:1
AMS_47J30:47J30 Variational methods:AMS_47Jxx:1
AMS_47J35:47J35 Nonlinear evolution equations:AMS_47Jxx:1
AMS_47J40:47J40 Equations with hysteresis operators:AMS_47Jxx:1
AMS_47J99:47J99 None of the above, but in this section:AMS_47Jxx:1
AMS_47Lxx:47Lxx Linear spaces and algebras of operators:AMS_47:0
AMS_47L05:47L05 Linear spaces of operators:AMS_47Lxx:1
AMS_47L07:47L07 Convex sets and cones of operators:AMS_47Lxx:1
AMS_47L10:47L10 Algebras of operators on Banach spaces and other topological linear spaces:AMS_47Lxx:1
AMS_47L15:47L15 Operator algebras with symbol structure:AMS_47Lxx:1
AMS_47L20:47L20 Operator ideals:AMS_47Lxx:1
AMS_47L25:47L25 Operator spaces (= matricially normed spaces):AMS_47Lxx:1
AMS_47L30:47L30 Abstract operator algebras on Hilbert spaces:AMS_47Lxx:1
AMS_47L35:47L35 Nest algebras, CSL algebras:AMS_47Lxx:1
AMS_47L40:47L40 Limit algebras, subalgebras of $C^*$-algebras:AMS_47Lxx:1
AMS_47L45:47L45 Dual algebras; weakly closed singly generated operator algebras:AMS_47Lxx:1
AMS_47L50:47L50 Dual spaces of operator algebras:AMS_47Lxx:1
AMS_47L55:47L55 Representations of (nonselfadjoint) operator algebras:AMS_47Lxx:1
AMS_47L60:47L60 Algebras of unbounded operators; partial algebras of operators:AMS_47Lxx:1
AMS_47L65:47L65 Crossed product algebras (analytic crossed products):AMS_47Lxx:1
AMS_47L70:47L70 Nonassociative nonselfadjoint operator algebras:AMS_47Lxx:1
AMS_47L75:47L75 Other nonselfadjoint operator algebras:AMS_47Lxx:1
AMS_47L80:47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.):AMS_47Lxx:1
AMS_47L90:47L90 Applications of operator algebras to physics:AMS_47Lxx:1
AMS_47L99:47L99 None of the above, but in this section:AMS_47Lxx:1
AMS_47Nxx:47Nxx Miscellaneous applications of operator theory:AMS_47:0
AMS_47N10:47N10 Applications in optimization, convex analysis, mathematical programming, economics:AMS_47Nxx:1
AMS_47N20:47N20 Applications to differential and integral equations:AMS_47Nxx:1
AMS_47N30:47N30 Applications in probability theory and statistics:AMS_47Nxx:1
AMS_47N40:47N40 Applications in numerical analysis:AMS_47Nxx:1
AMS_47N50:47N50 Applications in quantum physics:AMS_47Nxx:1
AMS_47N55:47N55 Applications in statistical physics:AMS_47Nxx:1
AMS_47N60:47N60 Applications in biology and other sciences:AMS_47Nxx:1
AMS_47N70:47N70 Applications in systems theory, circuits, etc.:AMS_47Nxx:1
AMS_47N99:47N99 None of the above, but in this section:AMS_47Nxx:1
AMS_47Sxx:47Sxx Other (nonclassical) types of operator theory:AMS_47:0
AMS_47S10:47S10 Operator theory over fields other than <B>R</B>, <B>C</B> or the quaternions; non-Archimedean operator theory:AMS_47Sxx:1
AMS_47S20:47S20 Nonstandard operator theory:AMS_47Sxx:1
AMS_47S30:47S30 Constructive operator theory:AMS_47Sxx:1
AMS_47S40:47S40 Fuzzy operator theory:AMS_47Sxx:1
AMS_47S50:47S50 Operator theory in probabilistic metric linear spaces:AMS_47Sxx:1
AMS_47S99:47S99 None of the above, but in this section:AMS_47Sxx:1
AMS_49:49-XX Calculus of variations and optimal control; optimization:AMS_4:0
AMS_49Jxx:49Jxx Existence theories:AMS_49:0
AMS_49J05:49J05 Free problems in one independent variable:AMS_49Jxx:1
AMS_49J10:49J10 Free problems in two or more independent variables:AMS_49Jxx:1
AMS_49J15:49J15 Optimal control problems involving ordinary differential equations:AMS_49Jxx:1
AMS_49J20:49J20 Optimal control problems involving partial differential equations:AMS_49Jxx:1
AMS_49J22:49J22 Optimal control problems involving integral equations:AMS_49Jxx:1
AMS_49J24:49J24 Optimal control problems involving differential inclusions:AMS_49Jxx:1
AMS_49J25:49J25 Optimal control problems involving equations with retarded arguments:AMS_49Jxx:1
AMS_49J27:49J27 Problems in abstract spaces:AMS_49Jxx:1
AMS_49J30:49J30 Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.):AMS_49Jxx:1
AMS_49J35:49J35 Minimax problems:AMS_49Jxx:1
AMS_49J40:49J40 Variational methods including variational inequalities:AMS_49Jxx:1
AMS_49J45:49J45 Methods involving semicontinuity and convergence; relaxation:AMS_49Jxx:1
AMS_49J50:49J50 Fr&eacute;chet and Gateaux differentiability:AMS_49Jxx:1
AMS_49J52:49J52 Nonsmooth analysis:AMS_49Jxx:1
AMS_49J53:49J53 Set-valued and variational analysis:AMS_49Jxx:1
AMS_49J55:49J55 Problems involving randomness:AMS_49Jxx:1
AMS_49J99:49J99 None of the above, but in this section:AMS_49Jxx:1
AMS_49Kxx:49Kxx Necessary conditions and sufficient conditions for optimality:AMS_49:0
AMS_49K05:49K05 Free problems in one independent variable:AMS_49Kxx:1
AMS_49K10:49K10 Free problems in two or more independent variables:AMS_49Kxx:1
AMS_49K15:49K15 Problems involving ordinary differential equations:AMS_49Kxx:1
AMS_49K20:49K20 Problems involving partial differential equations:AMS_49Kxx:1
AMS_49K22:49K22 Problems involving integral equations:AMS_49Kxx:1
AMS_49K24:49K24 Problems involving differential inclusions:AMS_49Kxx:1
AMS_49K25:49K25 Problems involving equations with retarded arguments:AMS_49Kxx:1
AMS_49K27:49K27 Problems in abstract spaces:AMS_49Kxx:1
AMS_49K30:49K30 Optimal solutions belonging to restricted classes:AMS_49Kxx:1
AMS_49K35:49K35 Minimax problems:AMS_49Kxx:1
AMS_49K40:49K40 Sensitivity, stability, well-posedness:AMS_49Kxx:1
AMS_49K45:49K45 Problems involving randomness:AMS_49Kxx:1
AMS_49K99:49K99 None of the above, but in this section:AMS_49Kxx:1
AMS_49Lxx:49Lxx Hamilton - Jacobi theories, including dynamic programming:AMS_49:0
AMS_49L20:49L20 Dynamic programming method:AMS_49Lxx:1
AMS_49L25:49L25 Viscosity solutions:AMS_49Lxx:1
AMS_49L99:49L99 None of the above, but in this section:AMS_49Lxx:1
AMS_49Mxx:49Mxx Methods of successive approximations:AMS_49:0
AMS_49M05:49M05 Methods based on necessary conditions:AMS_49Mxx:1
AMS_49M15:49M15 Methods of Newton-Raphson, Galerkin and Ritz types:AMS_49Mxx:1
AMS_49M20:49M20 Methods of relaxation type:AMS_49Mxx:1
AMS_49M25:49M25 Discrete approximations:AMS_49Mxx:1
AMS_49M27:49M27 Decomposition methods:AMS_49Mxx:1
AMS_49M29:49M29 Methods involving duality:AMS_49Mxx:1
AMS_49M30:49M30 Other methods, not based on necessary conditions (penalty function, etc.):AMS_49Mxx:1
AMS_49M37:49M37 Methods of nonlinear programming type:AMS_49Mxx:1
AMS_49M99:49M99 None of the above, but in this section:AMS_49Mxx:1
AMS_49Nxx:49Nxx Miscellaneous topics:AMS_49:0
AMS_49N05:49N05 Linear optimal control problems:AMS_49Nxx:1
AMS_49N10:49N10 Linear-quadratic problems:AMS_49Nxx:1
AMS_49N15:49N15 Duality theory:AMS_49Nxx:1
AMS_49N20:49N20 Periodic optimization:AMS_49Nxx:1
AMS_49N25:49N25 Impulsive optimal control problems:AMS_49Nxx:1
AMS_49N30:49N30 Problems with incomplete information:AMS_49Nxx:1
AMS_49N35:49N35 Optimal feedback synthesis:AMS_49Nxx:1
AMS_49N45:49N45 Inverse problems:AMS_49Nxx:1
AMS_49N60:49N60 Regularity of solutions:AMS_49Nxx:1
AMS_49N70:49N70 Differential games:AMS_49Nxx:1
AMS_49N75:49N75 Pursuit and evasion games:AMS_49Nxx:1
AMS_49N90:49N90 Applications of optimal control and differential games:AMS_49Nxx:1
AMS_49N99:49N99 None of the above, but in this section:AMS_49Nxx:1
AMS_49Qxx:49Qxx Manifolds:AMS_49:0
AMS_49Q05:49Q05 Minimal surfaces:AMS_49Qxx:1
AMS_49Q10:49Q10 Optimization of shapes other than minimal surfaces:AMS_49Qxx:1
AMS_49Q12:49Q12 Sensitivity analysis:AMS_49Qxx:1
AMS_49Q15:49Q15 Geometric measure and integration theory, integral and normal currents:AMS_49Qxx:1
AMS_49Q20:49Q20 Variational problems in a geometric measure-theoretic setting:AMS_49Qxx:1
AMS_49Q99:49Q99 None of the above, but in this section:AMS_49Qxx:1
AMS_51:51-XX Geometry:AMS_5:0
AMS_51Axx:51Axx Linear incidence geometry:AMS_51:0
AMS_51A05:51A05 General theory and projective geometries:AMS_51Axx:1
AMS_51A10:51A10 Homomorphism, automorphism and dualities:AMS_51Axx:1
AMS_51A15:51A15 Structures with parallelism:AMS_51Axx:1
AMS_51A20:51A20 Configuration theorems:AMS_51Axx:1
AMS_51A25:51A25 Algebraization:AMS_51Axx:1
AMS_51A30:51A30 Desarguesian and Pappian geometries:AMS_51Axx:1
AMS_51A35:51A35 Non-Desarguesian affine and projective planes:AMS_51Axx:1
AMS_51A40:51A40 Translation planes and spreads:AMS_51Axx:1
AMS_51A45:51A45 Incidence structures imbeddable into projective geometries:AMS_51Axx:1
AMS_51A50:51A50 Polar geometry, symplectic spaces, orthogonal spaces:AMS_51Axx:1
AMS_51A99:51A99 None of the above, but in this section:AMS_51Axx:1
AMS_51Bxx:51Bxx Nonlinear incidence geometry:AMS_51:0
AMS_51B05:51B05 General theory:AMS_51Bxx:1
AMS_51B10:51B10 M&ouml;bius geometries:AMS_51Bxx:1
AMS_51B15:51B15 Laguerre geometries:AMS_51Bxx:1
AMS_51B20:51B20 Minkowski geometries:AMS_51Bxx:1
AMS_51B25:51B25 Lie geometries:AMS_51Bxx:1
AMS_51B99:51B99 None of the above, but in this section:AMS_51Bxx:1
AMS_51Dxx:51Dxx Geometric closure systems:AMS_51:0
AMS_51D05:51D05 Abstract (Maeda) geometries:AMS_51Dxx:1
AMS_51D10:51D10 Abstract geometries with exchange axiom:AMS_51Dxx:1
AMS_51D15:51D15 Abstract geometries with parallelism:AMS_51Dxx:1
AMS_51D20:51D20 Combinatorial geometries:AMS_51Dxx:1
AMS_51D25:51D25 Lattices of subspaces:AMS_51Dxx:1
AMS_51D30:51D30 Continuous geometries and related topics:AMS_51Dxx:1
AMS_51D99:51D99 None of the above, but in this section:AMS_51Dxx:1
AMS_51Exx:51Exx Finite geometry and special incidence structures:AMS_51:0
AMS_51E05:51E05 General block designs:AMS_51Exx:1
AMS_51E10:51E10 Steiner systems:AMS_51Exx:1
AMS_51E12:51E12 Generalized quadrangles, generalized polygons:AMS_51Exx:1
AMS_51E14:51E14 Finite partial geometries (general), nets, partial spreads:AMS_51Exx:1
AMS_51E15:51E15 Affine and projective planes:AMS_51Exx:1
AMS_51E20:51E20 Combinatorial structures in finite projective spaces:AMS_51Exx:1
AMS_51E21:51E21 Blocking sets, ovals, $k$-arcs:AMS_51Exx:1
AMS_51E22:51E22 Linear codes and caps in Galois spaces:AMS_51Exx:1
AMS_51E23:51E23 Spreads and packing problems:AMS_51Exx:1
AMS_51E24:51E24 Buildings and the geometry of diagrams:AMS_51Exx:1
AMS_51E25:51E25 Other finite nonlinear geometries:AMS_51Exx:1
AMS_51E26:51E26 Other finite linear geometries:AMS_51Exx:1
AMS_51E30:51E30 Other finite incidence structures:AMS_51Exx:1
AMS_51E99:51E99 None of the above, but in this section:AMS_51Exx:1
AMS_51Fxx:51Fxx Metric geometry:AMS_51:0
AMS_51F05:51F05 Absolute planes:AMS_51Fxx:1
AMS_51F10:51F10 Absolute spaces:AMS_51Fxx:1
AMS_51F15:51F15 Reflection groups, reflection geometries:AMS_51Fxx:1
AMS_51F20:51F20 Congruence and orthogonality:AMS_51Fxx:1
AMS_51F25:51F25 Orthogonal and unitary groups:AMS_51Fxx:1
AMS_51F99:51F99 None of the above, but in this section:AMS_51Fxx:1
AMS_51Hxx:51Hxx Topological geometry:AMS_51:0
AMS_51H05:51H05 General theory:AMS_51Hxx:1
AMS_51H10:51H10 Topological linear incidence structures:AMS_51Hxx:1
AMS_51H15:51H15 Topological nonlinear incidence structures:AMS_51Hxx:1
AMS_51H20:51H20 Topological geometries on manifolds:AMS_51Hxx:1
AMS_51H25:51H25 Geometries with differentiable structure:AMS_51Hxx:1
AMS_51H30:51H30 Geometries with algebraic manifold structure:AMS_51Hxx:1
AMS_51H99:51H99 None of the above, but in this section:AMS_51Hxx:1
AMS_51Jxx:51Jxx Incidence groups:AMS_51:0
AMS_51J05:51J05 General theory:AMS_51Jxx:1
AMS_51J10:51J10 Projective incidence groups:AMS_51Jxx:1
AMS_51J15:51J15 Kinematic spaces:AMS_51Jxx:1
AMS_51J20:51J20 Representation by near-fields and near-algebras:AMS_51Jxx:1
AMS_51J99:51J99 None of the above, but in this section:AMS_51Jxx:1
AMS_51Kxx:51Kxx Distance geometry:AMS_51:0
AMS_51K05:51K05 General theory:AMS_51Kxx:1
AMS_51K10:51K10 Synthetic differential geometry:AMS_51Kxx:1
AMS_51K99:51K99 None of the above, but in this section:AMS_51Kxx:1
AMS_51Lxx:51Lxx Geometric order structures:AMS_51:0
AMS_51L05:51L05 Geometry of orders of nondifferentiable curves:AMS_51Lxx:1
AMS_51L10:51L10 Directly differentiable curves:AMS_51Lxx:1
AMS_51L15:51L15 $n$-vertex theorems via direct methods:AMS_51Lxx:1
AMS_51L20:51L20 Geometry of orders of surfaces:AMS_51Lxx:1
AMS_51L99:51L99 None of the above, but in this section:AMS_51Lxx:1
AMS_51Mxx:51Mxx Real and complex geometry:AMS_51:0
AMS_51M04:51M04 Elementary problems in Euclidean geometries:AMS_51Mxx:1
AMS_51M05:51M05 Euclidean geometries (general) and generalizations:AMS_51Mxx:1
AMS_51M09:51M09 Elementary problems in hyperbolic and elliptic geometries:AMS_51Mxx:1
AMS_51M10:51M10 Hyperbolic and elliptic geometries (general) and generalizations:AMS_51Mxx:1
AMS_51M15:51M15 Geometric constructions:AMS_51Mxx:1
AMS_51M16:51M16 Inequalities and extremum problems:AMS_51Mxx:1
AMS_51M20:51M20 Polyhedra and polytopes; regular figures, division of spaces:AMS_51Mxx:1
AMS_51M25:51M25 Length, area and volume:AMS_51Mxx:1
AMS_51M30:51M30 Line geometries and their generalizations:AMS_51Mxx:1
AMS_51M35:51M35 Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations):AMS_51Mxx:1
AMS_51M99:51M99 None of the above, but in this section:AMS_51Mxx:1
AMS_51Nxx:51Nxx Analytic and descriptive geometry:AMS_51:0
AMS_51N05:51N05 Descriptive geometry:AMS_51Nxx:1
AMS_51N10:51N10 Affine analytic geometry:AMS_51Nxx:1
AMS_51N15:51N15 Projective analytic geometry:AMS_51Nxx:1
AMS_51N20:51N20 Euclidean analytic geometry:AMS_51Nxx:1
AMS_51N25:51N25 Analytic geometry with other transformation groups:AMS_51Nxx:1
AMS_51N30:51N30 Geometry of classical groups:AMS_51Nxx:1
AMS_51N35:51N35 Questions of classical algebraic geometry:AMS_51Nxx:1
AMS_51N99:51N99 None of the above, but in this section:AMS_51Nxx:1
AMS_52:52-XX Convex and discrete geometry:AMS_5:0
AMS_52Axx:52Axx General convexity:AMS_52:0
AMS_52A01:52A01 Axiomatic and generalized convexity:AMS_52Axx:1
AMS_52A05:52A05 Convex sets without dimension restrictions:AMS_52Axx:1
AMS_52A07:52A07 Convex sets in topological vector spaces:AMS_52Axx:1
AMS_52A10:52A10 Convex sets in $2$ dimensions (including convex curves):AMS_52Axx:1
AMS_52A15:52A15 Convex sets in $3$ dimensions (including convex surfaces):AMS_52Axx:1
AMS_52A20:52A20 Convex sets in $n$ dimensions (including convex hypersurfaces):AMS_52Axx:1
AMS_52A21:52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.):AMS_52Axx:1
AMS_52A22:52A22 Random convex sets and integral geometry:AMS_52Axx:1
AMS_52A27:52A27 Approximation by convex sets:AMS_52Axx:1
AMS_52A30:52A30 Variants of convex sets (star-shaped, ($m, n$)-convex, etc.):AMS_52Axx:1
AMS_52A35:52A35 Helly-type theorems and geometric transversal theory:AMS_52Axx:1
AMS_52A37:52A37 Other problems of combinatorial convexity:AMS_52Axx:1
AMS_52A38:52A38 Length, area, volume:AMS_52Axx:1
AMS_52A39:52A39 Mixed volumes and related topics:AMS_52Axx:1
AMS_52A40:52A40 Inequalities and extremum problems:AMS_52Axx:1
AMS_52A41:52A41 Convex functions and convex programs:AMS_52Axx:1
AMS_52A55:52A55 Spherical and hyperbolic convexity:AMS_52Axx:1
AMS_52A99:52A99 None of the above, but in this section:AMS_52Axx:1
AMS_52Bxx:52Bxx Polytopes and polyhedra:AMS_52:0
AMS_52B05:52B05 Combinatorial properties (number of faces, shortest paths, etc.):AMS_52Bxx:1
AMS_52B10:52B10 Three-dimensional polytopes:AMS_52Bxx:1
AMS_52B11:52B11 $n$-dimensional polytopes:AMS_52Bxx:1
AMS_52B12:52B12 Special polytopes (linear programming, centrally symmetric, etc.):AMS_52Bxx:1
AMS_52B15:52B15 Symmetry properties of polytopes:AMS_52Bxx:1
AMS_52B20:52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry):AMS_52Bxx:1
AMS_52B22:52B22 Shellability:AMS_52Bxx:1
AMS_52B35:52B35 Gale and other diagrams:AMS_52Bxx:1
AMS_52B40:52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.):AMS_52Bxx:1
AMS_52B45:52B45 Dissections and valuations (Hilbert's third problem, etc.):AMS_52Bxx:1
AMS_52B55:52B55 Computational aspects related to convexity:AMS_52Bxx:1
AMS_52B60:52B60 Isoperimetric problems for polytopes:AMS_52Bxx:1
AMS_52B70:52B70 Polyhedral manifolds:AMS_52Bxx:1
AMS_52B99:52B99 None of the above, but in this section:AMS_52Bxx:1
AMS_52Cxx:52Cxx Discrete geometry:AMS_52:0
AMS_52C05:52C05 Lattices and convex bodies in $2$ dimensions:AMS_52Cxx:1
AMS_52C07:52C07 Lattices and convex bodies in $n$ dimensions:AMS_52Cxx:1
AMS_52C10:52C10 Erd&ouml;s problems and related topics of discrete geometry:AMS_52Cxx:1
AMS_52C15:52C15 Packing and covering in $2$ dimensions:AMS_52Cxx:1
AMS_52C17:52C17 Packing and covering in $n$ dimensions:AMS_52Cxx:1
AMS_52C20:52C20 Tilings in $2$ dimensions:AMS_52Cxx:1
AMS_52C22:52C22 Tilings in $n$ dimensions:AMS_52Cxx:1
AMS_52C23:52C23 Quasicrystals, aperiodic tilings:AMS_52Cxx:1
AMS_52C25:52C25 Rigidity and flexibility of structures:AMS_52Cxx:1
AMS_52C26:52C26 Circle packings and discrete conformal geometry:AMS_52Cxx:1
AMS_52C30:52C30 Planar arrangements of lines and pseudolines:AMS_52Cxx:1
AMS_52C35:52C35 Arrangements of points, flats, hyperplanes:AMS_52Cxx:1
AMS_52C40:52C40 Oriented matroids:AMS_52Cxx:1
AMS_52C45:52C45 Combinatorial complexity of geometric structures:AMS_52Cxx:1
AMS_52C99:52C99 None of the above, but in this section:AMS_52Cxx:1
AMS_53:53-XX Differential geometry:AMS_5:0
AMS_53Axx:53Axx Classical differential geometry:AMS_53:0
AMS_53A04:53A04 Curves in Euclidean space:AMS_53Axx:1
AMS_53A05:53A05 Surfaces in Euclidean space:AMS_53Axx:1
AMS_53A07:53A07 Higher-dimensional and -codimensional surfaces in Euclidean $n$-space:AMS_53Axx:1
AMS_53A10:53A10 Minimal surfaces, surfaces with prescribed mean curvature:AMS_53Axx:1
AMS_53A15:53A15 Affine differential geometry:AMS_53Axx:1
AMS_53A17:53A17 Kinematics:AMS_53Axx:1
AMS_53A20:53A20 Projective differential geometry:AMS_53Axx:1
AMS_53A25:53A25 Differential line geometry:AMS_53Axx:1
AMS_53A30:53A30 Conformal differential geometry:AMS_53Axx:1
AMS_53A35:53A35 Non-Euclidean differential geometry:AMS_53Axx:1
AMS_53A40:53A40 Other special differential geometries:AMS_53Axx:1
AMS_53A45:53A45 Vector and tensor analysis:AMS_53Axx:1
AMS_53A55:53A55 Differential invariants (local theory), geometric objects:AMS_53Axx:1
AMS_53A60:53A60 Geometry of webs:AMS_53Axx:1
AMS_53A99:53A99 None of the above, but in this section:AMS_53Axx:1
AMS_53Bxx:53Bxx Local differential geometry:AMS_53:0
AMS_53B05:53B05 Linear and affine connections:AMS_53Bxx:1
AMS_53B10:53B10 Projective connections:AMS_53Bxx:1
AMS_53B15:53B15 Other connections:AMS_53Bxx:1
AMS_53B20:53B20 Local Riemannian geometry:AMS_53Bxx:1
AMS_53B21:53B21 Methods of Riemannian geometry:AMS_53Bxx:1
AMS_53B25:53B25 Local submanifolds:AMS_53Bxx:1
AMS_53B30:53B30 Lorentz metrics, indefinite metrics:AMS_53Bxx:1
AMS_53B35:53B35 Hermitian and K&auml;hlerian structures:AMS_53Bxx:1
AMS_53B40:53B40 Finsler spaces and generalizations (areal metrics):AMS_53Bxx:1
AMS_53B50:53B50 Applications to physics:AMS_53Bxx:1
AMS_53B99:53B99 None of the above, but in this section:AMS_53Bxx:1
AMS_53Cxx:53Cxx Global differential geometry:AMS_53:0
AMS_53C05:53C05 Connections, general theory:AMS_53Cxx:1
AMS_53C07:53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills):AMS_53Cxx:1
AMS_53C10:53C10 $G$-structures:AMS_53Cxx:1
AMS_53C12:53C12 Foliations (differential geometric aspects):AMS_53Cxx:1
AMS_53C15:53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.):AMS_53Cxx:1
AMS_53C17:53C17 Sub-Riemannian geometry:AMS_53Cxx:1
AMS_53C20:53C20 Global Riemannian geometry, including pinching:AMS_53Cxx:1
AMS_53C21:53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions:AMS_53Cxx:1
AMS_53C22:53C22 Geodesics:AMS_53Cxx:1
AMS_53C23:53C23 Global topological methods (&agrave; la Gromov):AMS_53Cxx:1
AMS_53C24:53C24 Rigidity results:AMS_53Cxx:1
AMS_53C25:53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.):AMS_53Cxx:1
AMS_53C26:53C26 Hyper-K&auml;hler and quaternionic K&auml;hler geometry, ``special'' geometry:AMS_53Cxx:1
AMS_53C27:53C27 Spin and Spin$^c$ geometry:AMS_53Cxx:1
AMS_53C28:53C28 Twistor methods:AMS_53Cxx:1
AMS_53C29:53C29 Issues of holonomy:AMS_53Cxx:1
AMS_53C30:53C30 Homogeneous manifolds:AMS_53Cxx:1
AMS_53C35:53C35 Symmetric spaces:AMS_53Cxx:1
AMS_53C38:53C38 Calibrations and calibrated geometries:AMS_53Cxx:1
AMS_53C40:53C40 Global submanifolds:AMS_53Cxx:1
AMS_53C42:53C42 Immersions (minimal, prescribed curvature, tight, etc.):AMS_53Cxx:1
AMS_53C43:53C43 Differential geometric aspects of harmonic maps:AMS_53Cxx:1
AMS_53C44:53C44 Geometric evolution equations (mean curvature flow):AMS_53Cxx:1
AMS_53C45:53C45 Global surface theory (convex surfaces &agrave; la A. D. Aleksandrov):AMS_53Cxx:1
AMS_53C50:53C50 Lorentz manifolds, manifolds with indefinite metrics:AMS_53Cxx:1
AMS_53C55:53C55 Hermitian and K&auml;hlerian manifolds:AMS_53Cxx:1
AMS_53C56:53C56 Other complex differential geometry:AMS_53Cxx:1
AMS_53C60:53C60 Finsler spaces and generalizations (areal metrics):AMS_53Cxx:1
AMS_53C65:53C65 Integral geometry:AMS_53Cxx:1
AMS_53C70:53C70 Direct methods ($G$-spaces of Busemann, etc.):AMS_53Cxx:1
AMS_53C75:53C75 Geometric orders, order geometry:AMS_53Cxx:1
AMS_53C80:53C80 Applications to physics:AMS_53Cxx:1
AMS_53C99:53C99 None of the above, but in this section:AMS_53Cxx:1
AMS_53Dxx:53Dxx Symplectic geometry, contact geometry:AMS_53:0
AMS_53D05:53D05 Symplectic manifolds, general:AMS_53Dxx:1
AMS_53D10:53D10 Contact manifolds, general:AMS_53Dxx:1
AMS_53D12:53D12 Lagrangian submanifolds; Maslov index:AMS_53Dxx:1
AMS_53D15:53D15 Almost contact and almost symplectic manifolds:AMS_53Dxx:1
AMS_53D17:53D17 Poisson manifolds:AMS_53Dxx:1
AMS_53D20:53D20 Momentum maps; symplectic reduction:AMS_53Dxx:1
AMS_53D22:53D22 Canonical transformations:AMS_53Dxx:1
AMS_53D25:53D25 Geodesic flows:AMS_53Dxx:1
AMS_53D30:53D30 Symplectic structures of moduli spaces:AMS_53Dxx:1
AMS_53D35:53D35 Global theory of symplectic and contact manifolds:AMS_53Dxx:1
AMS_53D40:53D40 Floer homology and cohomology, symplectic aspects:AMS_53Dxx:1
AMS_53D45:53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds:AMS_53Dxx:1
AMS_53D50:53D50 Geometric quantization:AMS_53Dxx:1
AMS_53D55:53D55 Deformation quantization, star products:AMS_53Dxx:1
AMS_53D99:53D99 None of the above, but in this section:AMS_53Dxx:1
AMS_54:54-XX General topology:AMS_5:0
AMS_54Axx:54Axx Generalities:AMS_54:0
AMS_54A05:54A05 Topological spaces and generalizations (closure spaces, etc.):AMS_54Axx:1
AMS_54A10:54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies):AMS_54Axx:1
AMS_54A15:54A15 Syntopogeneous structures:AMS_54Axx:1
AMS_54A20:54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, etc.):AMS_54Axx:1
AMS_54A25:54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets):AMS_54Axx:1
AMS_54A35:54A35 Consistency and independence results:AMS_54Axx:1
AMS_54A40:54A40 Fuzzy topology:AMS_54Axx:1
AMS_54A99:54A99 None of the above, but in this section:AMS_54Axx:1
AMS_54Bxx:54Bxx Basic constructions:AMS_54:0
AMS_54B05:54B05 Subspaces:AMS_54Bxx:1
AMS_54B10:54B10 Product spaces:AMS_54Bxx:1
AMS_54B15:54B15 Quotient spaces, decompositions:AMS_54Bxx:1
AMS_54B17:54B17 Adjunction spaces and similar constructions:AMS_54Bxx:1
AMS_54B20:54B20 Hyperspaces:AMS_54Bxx:1
AMS_54B30:54B30 Categorical methods:AMS_54Bxx:1
AMS_54B35:54B35 Spectra:AMS_54Bxx:1
AMS_54B40:54B40 Presheaves and sheaves:AMS_54Bxx:1
AMS_54B99:54B99 None of the above, but in this section:AMS_54Bxx:1
AMS_54Cxx:54Cxx Maps and general types of spaces defined by maps:AMS_54:0
AMS_54C05:54C05 Continuous maps:AMS_54Cxx:1
AMS_54C08:54C08 Weak and generalized continuity:AMS_54Cxx:1
AMS_54C10:54C10 Special maps on topological spaces (open, closed, perfect, etc.):AMS_54Cxx:1
AMS_54C15:54C15 Retraction:AMS_54Cxx:1
AMS_54C20:54C20 Extension of maps:AMS_54Cxx:1
AMS_54C25:54C25 Embedding:AMS_54Cxx:1
AMS_54C30:54C30 Real-valued functions:AMS_54Cxx:1
AMS_54C35:54C35 Function spaces:AMS_54Cxx:1
AMS_54C40:54C40 Algebraic properties of function spaces:AMS_54Cxx:1
AMS_54C45:54C45 $C$- and $C^*$-embedding:AMS_54Cxx:1
AMS_54C50:54C50 Special sets defined by functions:AMS_54Cxx:1
AMS_54C55:54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties):AMS_54Cxx:1
AMS_54C56:54C56 Shape theory:AMS_54Cxx:1
AMS_54C60:54C60 Set-valued maps:AMS_54Cxx:1
AMS_54C65:54C65 Selections:AMS_54Cxx:1
AMS_54C70:54C70 Entropy:AMS_54Cxx:1
AMS_54C99:54C99 None of the above, but in this section:AMS_54Cxx:1
AMS_54Dxx:54Dxx Fairly general properties:AMS_54:0
AMS_54D05:54D05 Connected and locally connected spaces (general aspects):AMS_54Dxx:1
AMS_54D10:54D10 Lower separation axioms ($T_0$--$T_3$, etc.):AMS_54Dxx:1
AMS_54D15:54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.):AMS_54Dxx:1
AMS_54D20:54D20 Noncompact covering properties (paracompact, Lindel&ouml;f, etc.):AMS_54Dxx:1
AMS_54D25:54D25 ``$P$-minimal'' and ``$P$-closed'' spaces:AMS_54Dxx:1
AMS_54D30:54D30 Compactness:AMS_54Dxx:1
AMS_54D35:54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.):AMS_54Dxx:1
AMS_54D40:54D40 Remainders:AMS_54Dxx:1
AMS_54D45:54D45 Local compactness, $\sigma$-compactness:AMS_54Dxx:1
AMS_54D50:54D50 $k$-spaces:AMS_54Dxx:1
AMS_54D55:54D55 Sequential spaces:AMS_54Dxx:1
AMS_54D60:54D60 Realcompactness and realcompactification:AMS_54Dxx:1
AMS_54D65:54D65 Separability:AMS_54Dxx:1
AMS_54D70:54D70 Base properties:AMS_54Dxx:1
AMS_54D80:54D80 Special constructions of spaces (spaces of ultrafilters, etc.):AMS_54Dxx:1
AMS_54D99:54D99 None of the above, but in this section:AMS_54Dxx:1
AMS_54Exx:54Exx Spaces with richer structures:AMS_54:0
AMS_54E05:54E05 Proximity structures and generalizations:AMS_54Exx:1
AMS_54E15:54E15 Uniform structures and generalizations:AMS_54Exx:1
AMS_54E17:54E17 Nearness spaces:AMS_54Exx:1
AMS_54E18:54E18 $p$-spaces, $M$-spaces, $\sigma$-spaces, etc.:AMS_54Exx:1
AMS_54E20:54E20 Stratifiable spaces, cosmic spaces, etc.:AMS_54Exx:1
AMS_54E25:54E25 Semimetric spaces:AMS_54Exx:1
AMS_54E30:54E30 Moore spaces:AMS_54Exx:1
AMS_54E35:54E35 Metric spaces, metrizability:AMS_54Exx:1
AMS_54E40:54E40 Special maps on metric spaces:AMS_54Exx:1
AMS_54E45:54E45 Compact (locally compact) metric spaces:AMS_54Exx:1
AMS_54E50:54E50 Complete metric spaces:AMS_54Exx:1
AMS_54E52:54E52 Baire category, Baire spaces:AMS_54Exx:1
AMS_54E55:54E55 Bitopologies:AMS_54Exx:1
AMS_54E70:54E70 Probabilistic metric spaces:AMS_54Exx:1
AMS_54E99:54E99 None of the above, but in this section:AMS_54Exx:1
AMS_54Fxx:54Fxx Special properties:AMS_54:0
AMS_54F05:54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces:AMS_54Fxx:1
AMS_54F15:54F15 Continua and generalizations:AMS_54Fxx:1
AMS_54F35:54F35 Higher-dimensional local connectedness:AMS_54Fxx:1
AMS_54F45:54F45 Dimension theory:AMS_54Fxx:1
AMS_54F50:54F50 Spaces of dimension $\leq 1$; curves, dendrites:AMS_54Fxx:1
AMS_54F55:54F55 Unicoherence, multicoherence:AMS_54Fxx:1
AMS_54F65:54F65 Topological characterizations of particular spaces:AMS_54Fxx:1
AMS_54F99:54F99 None of the above, but in this section:AMS_54Fxx:1
AMS_54Gxx:54Gxx Peculiar spaces:AMS_54:0
AMS_54G05:54G05 Extremally disconnected spaces, $F$-spaces, etc.:AMS_54Gxx:1
AMS_54G10:54G10 $P$-spaces:AMS_54Gxx:1
AMS_54G12:54G12 Scattered spaces:AMS_54Gxx:1
AMS_54G15:54G15 Pathological spaces:AMS_54Gxx:1
AMS_54G20:54G20 Counterexamples:AMS_54Gxx:1
AMS_54G99:54G99 None of the above, but in this section:AMS_54Gxx:1
AMS_54Hxx:54Hxx Connections with other structures, applications:AMS_54:0
AMS_54H05:54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets):AMS_54Hxx:1
AMS_54H10:54H10 Topological representations of algebraic systems:AMS_54Hxx:1
AMS_54H11:54H11 Topological groups:AMS_54Hxx:1
AMS_54H12:54H12 Topological lattices, etc.:AMS_54Hxx:1
AMS_54H13:54H13 Topological fields, rings, etc.:AMS_54Hxx:1
AMS_54H15:54H15 Transformation groups and semigroups:AMS_54Hxx:1
AMS_54H20:54H20 Topological dynamics:AMS_54Hxx:1
AMS_54H25:54H25 Fixed-point and coincidence theorems:AMS_54Hxx:1
AMS_54H99:54H99 None of the above, but in this section:AMS_54Hxx:1
AMS_55:55-XX Algebraic topology:AMS_5:0
AMS_55Mxx:55Mxx Classical topics:AMS_55:0
AMS_55M05:55M05 Duality:AMS_55Mxx:1
AMS_55M10:55M10 Dimension theory:AMS_55Mxx:1
AMS_55M15:55M15 Absolute neighborhood retracts:AMS_55Mxx:1
AMS_55M20:55M20 Fixed points and coincidences:AMS_55Mxx:1
AMS_55M25:55M25 Degree, winding number:AMS_55Mxx:1
AMS_55M30:55M30 Ljusternik-Schnirelman (Lyusternik-Shnirelman) category of a space:AMS_55Mxx:1
AMS_55M35:55M35 Finite groups of transformations (including Smith theory):AMS_55Mxx:1
AMS_55M99:55M99 None of the above, but in this section:AMS_55Mxx:1
AMS_55Nxx:55Nxx Homology and cohomology theories:AMS_55:0
AMS_55N05:55N05 Cech types:AMS_55Nxx:1
AMS_55N07:55N07 Steenrod-Sitnikov homologies:AMS_55Nxx:1
AMS_55N10:55N10 Singular theory:AMS_55Nxx:1
AMS_55N15:55N15 $K$-theory:AMS_55Nxx:1
AMS_55N20:55N20 Generalized (extraordinary) homology and cohomology theories:AMS_55Nxx:1
AMS_55N22:55N22 Bordism and cobordism theories, formal group laws:AMS_55Nxx:1
AMS_55N25:55N25 Homology with local coefficients, equivariant cohomology:AMS_55Nxx:1
AMS_55N30:55N30 Sheaf cohomology:AMS_55Nxx:1
AMS_55N33:55N33 Intersection homology and cohomology:AMS_55Nxx:1
AMS_55N34:55N34 Elliptic cohomology:AMS_55Nxx:1
AMS_55N35:55N35 Other homology theories:AMS_55Nxx:1
AMS_55N40:55N40 Axioms for homology theory and uniqueness theorems:AMS_55Nxx:1
AMS_55N45:55N45 Products and intersections:AMS_55Nxx:1
AMS_55N91:55N91 Equivariant homology and cohomology:AMS_55Nxx:1
AMS_55N99:55N99 None of the above, but in this section:AMS_55Nxx:1
AMS_55Pxx:55Pxx Homotopy theory:AMS_55:0
AMS_55P05:55P05 Homotopy extension properties, cofibrations:AMS_55Pxx:1
AMS_55P10:55P10 Homotopy equivalences:AMS_55Pxx:1
AMS_55P15:55P15 Classification of homotopy type:AMS_55Pxx:1
AMS_55P20:55P20 Eilenberg-Mac Lane spaces:AMS_55Pxx:1
AMS_55P25:55P25 Spanier-Whitehead duality:AMS_55Pxx:1
AMS_55P30:55P30 Eckmann-Hilton duality:AMS_55Pxx:1
AMS_55P35:55P35 Loop spaces:AMS_55Pxx:1
AMS_55P40:55P40 Suspensions:AMS_55Pxx:1
AMS_55P42:55P42 Stable homotopy theory, spectra:AMS_55Pxx:1
AMS_55P43:55P43 Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.):AMS_55Pxx:1
AMS_55P45:55P45 $:AMS_55Pxx:1
AMS_55P47:55P47 Infinite loop spaces:AMS_55Pxx:1
AMS_55P48:55P48 Loop space machines, operads:AMS_55Pxx:1
AMS_55P55:55P55 Shape theory:AMS_55Pxx:1
AMS_55P57:55P57 Proper homotopy theory:AMS_55Pxx:1
AMS_55P60:55P60 Localization and completion:AMS_55Pxx:1
AMS_55P62:55P62 Rational homotopy theory:AMS_55Pxx:1
AMS_55P65:55P65 Homotopy functors:AMS_55Pxx:1
AMS_55P91:55P91 Equivariant homotopy theory:AMS_55Pxx:1
AMS_55P92:55P92 Relations between equivariant and nonequivariant homotopy theory:AMS_55Pxx:1
AMS_55P99:55P99 None of the above, but in this section:AMS_55Pxx:1
AMS_55Qxx:55Qxx Homotopy groups:AMS_55:0
AMS_55Q05:55Q05 Homotopy groups, general; sets of homotopy classes:AMS_55Qxx:1
AMS_55Q07:55Q07 Shape groups:AMS_55Qxx:1
AMS_55Q10:55Q10 Stable homotopy groups:AMS_55Qxx:1
AMS_55Q15:55Q15 Whitehead products and generalizations:AMS_55Qxx:1
AMS_55Q20:55Q20 Homotopy groups of wedges, joins, and simple spaces:AMS_55Qxx:1
AMS_55Q25:55Q25 Hopf invariants:AMS_55Qxx:1
AMS_55Q35:55Q35 Operations in homotopy groups:AMS_55Qxx:1
AMS_55Q40:55Q40 Homotopy groups of spheres:AMS_55Qxx:1
AMS_55Q45:55Q45 Stable homotopy of spheres:AMS_55Qxx:1
AMS_55Q50:55Q50 $J$-morphism:AMS_55Qxx:1
AMS_55Q51:55Q51 $v_n$-periodicity:AMS_55Qxx:1
AMS_55Q52:55Q52 Homotopy groups of special spaces:AMS_55Qxx:1
AMS_55Q55:55Q55 Cohomotopy groups:AMS_55Qxx:1
AMS_55Q70:55Q70 Homotopy groups of special types:AMS_55Qxx:1
AMS_55Q91:55Q91 Equivariant homotopy groups:AMS_55Qxx:1
AMS_55Q99:55Q99 None of the above, but in this section:AMS_55Qxx:1
AMS_55Rxx:55Rxx Fiber spaces and bundles:AMS_55:0
AMS_55R05:55R05 Fiber spaces:AMS_55Rxx:1
AMS_55R10:55R10 Fiber bundles:AMS_55Rxx:1
AMS_55R12:55R12 Transfer:AMS_55Rxx:1
AMS_55R15:55R15 Classification:AMS_55Rxx:1
AMS_55R20:55R20 Spectral sequences and homology of fiber spaces:AMS_55Rxx:1
AMS_55R25:55R25 Sphere bundles and vector bundles:AMS_55Rxx:1
AMS_55R35:55R35 Classifying spaces of groups and $:AMS_55Rxx:1
AMS_55R37:55R37 Maps between classifying spaces:AMS_55Rxx:1
AMS_55R40:55R40 Homology of classifying spaces, characteristic classes:AMS_55Rxx:1
AMS_55R45:55R45 Homology and homotopy of $B:AMS_55Rxx:1
AMS_55R50:55R50 Stable classes of vector space bundles, $K$-theory:AMS_55Rxx:1
AMS_55R55:55R55 Fiberings with singularities:AMS_55Rxx:1
AMS_55R60:55R60 Microbundles and block bundles:AMS_55Rxx:1
AMS_55R65:55R65 Generalizations of fiber spaces and bundles:AMS_55Rxx:1
AMS_55R70:55R70 Fibrewise topology:AMS_55Rxx:1
AMS_55R80:55R80 Discriminantal varieties, configuration spaces:AMS_55Rxx:1
AMS_55R91:55R91 Equivariant fiber spaces and bundles:AMS_55Rxx:1
AMS_55R99:55R99 None of the above, but in this section:AMS_55Rxx:1
AMS_55Sxx:55Sxx Operations and obstructions:AMS_55:0
AMS_55S05:55S05 Primary cohomology operations:AMS_55Sxx:1
AMS_55S10:55S10 Steenrod algebra:AMS_55Sxx:1
AMS_55S12:55S12 Dyer-Lashof operations:AMS_55Sxx:1
AMS_55S15:55S15 Symmetric products, cyclic products:AMS_55Sxx:1
AMS_55S20:55S20 Secondary and higher cohomology operations:AMS_55Sxx:1
AMS_55S25:55S25 $K$-theory operations and generalized cohomology operations:AMS_55Sxx:1
AMS_55S30:55S30 Massey products:AMS_55Sxx:1
AMS_55S35:55S35 Obstruction theory:AMS_55Sxx:1
AMS_55S36:55S36 Extension and compression of mappings:AMS_55Sxx:1
AMS_55S37:55S37 Classification of mappings:AMS_55Sxx:1
AMS_55S40:55S40 Sectioning fiber spaces and bundles:AMS_55Sxx:1
AMS_55S45:55S45 Postnikov systems, $k$-invariants:AMS_55Sxx:1
AMS_55S91:55S91 Equivariant operations and obstructions:AMS_55Sxx:1
AMS_55S99:55S99 None of the above, but in this section:AMS_55Sxx:1
AMS_55Txx:55Txx Spectral sequences:AMS_55:0
AMS_55T05:55T05 General:AMS_55Txx:1
AMS_55T10:55T10 Serre spectral sequences:AMS_55Txx:1
AMS_55T15:55T15 Adams spectral sequences:AMS_55Txx:1
AMS_55T20:55T20 Eilenberg-Moore spectral sequences:AMS_55Txx:1
AMS_55T25:55T25 Generalized cohomology:AMS_55Txx:1
AMS_55T99:55T99 None of the above, but in this section:AMS_55Txx:1
AMS_55Uxx:55Uxx Applied homological algebra and category theory:AMS_55:0
AMS_55U05:55U05 Abstract complexes:AMS_55Uxx:1
AMS_55U10:55U10 Simplicial sets and complexes:AMS_55Uxx:1
AMS_55U15:55U15 Chain complexes:AMS_55Uxx:1
AMS_55U20:55U20 Universal coefficient theorems, Bockstein operator:AMS_55Uxx:1
AMS_55U25:55U25 Homology of a product, K&uuml;nneth formula:AMS_55Uxx:1
AMS_55U30:55U30 Duality:AMS_55Uxx:1
AMS_55U35:55U35 Abstract and axiomatic homotopy theory:AMS_55Uxx:1
AMS_55U40:55U40 Topological categories, foundations of homotopy theory:AMS_55Uxx:1
AMS_55U99:55U99 None of the above, but in this section:AMS_55Uxx:1
AMS_57:57-XX Manifolds and cell complexes:AMS_5:0
AMS_57Mxx:57Mxx Low-dimensional topology:AMS_57:0
AMS_57M05:57M05 Fundamental group, presentations, free differential calculus:AMS_57Mxx:1
AMS_57M07:57M07 Topological methods in group theory:AMS_57Mxx:1
AMS_57M10:57M10 Covering spaces:AMS_57Mxx:1
AMS_57M12:57M12 Special coverings, e.g. branched:AMS_57Mxx:1
AMS_57M15:57M15 Relations with graph theory:AMS_57Mxx:1
AMS_57M20:57M20 Two-dimensional complexes:AMS_57Mxx:1
AMS_57M25:57M25 Knots and links in $S^3$:AMS_57Mxx:1
AMS_57M27:57M27 Invariants of knots and 3-manifolds:AMS_57Mxx:1
AMS_57M30:57M30 Wild knots and surfaces, etc., wild embeddings:AMS_57Mxx:1
AMS_57M35:57M35 Dehn's lemma, sphere theorem, loop theorem, asphericity:AMS_57Mxx:1
AMS_57M40:57M40 Characterizations of $E^3$ and $S^3$ (Poincar&eacute; conjecture):AMS_57Mxx:1
AMS_57M50:57M50 Geometric structures on low-dimensional manifolds:AMS_57Mxx:1
AMS_57M60:57M60 Group actions in low dimensions:AMS_57Mxx:1
AMS_57M99:57M99 None of the above, but in this section:AMS_57Mxx:1
AMS_57Nxx:57Nxx Topological manifolds:AMS_57:0
AMS_57N05:57N05 Topology of $E^2$, $2$-manifolds:AMS_57Nxx:1
AMS_57N10:57N10 Topology of general $3$-manifolds:AMS_57Nxx:1
AMS_57N12:57N12 Topology of $E^3$ and $S^3$:AMS_57Nxx:1
AMS_57N13:57N13 Topology of $E^4$, $4$-manifolds:AMS_57Nxx:1
AMS_57N15:57N15 Topology of $E^n$, $n$-manifolds ($4  &lt; n &lt; \infty$):AMS_57Nxx:1
AMS_57N16:57N16 Geometric structures on manifolds:AMS_57Nxx:1
AMS_57N17:57N17 Topology of topological vector spaces:AMS_57Nxx:1
AMS_57N20:57N20 Topology of infinite-dimensional manifolds:AMS_57Nxx:1
AMS_57N25:57N25 Shapes:AMS_57Nxx:1
AMS_57N30:57N30 Engulfing:AMS_57Nxx:1
AMS_57N35:57N35 Embeddings and immersions:AMS_57Nxx:1
AMS_57N37:57N37 Isotopy and pseudo-isotopy:AMS_57Nxx:1
AMS_57N40:57N40 Neighborhoods of submanifolds:AMS_57Nxx:1
AMS_57N45:57N45 Flatness and tameness:AMS_57Nxx:1
AMS_57N50:57N50 $S^:AMS_57Nxx:1
AMS_57N55:57N55 Microbundles and block bundles:AMS_57Nxx:1
AMS_57N60:57N60 Cellularity:AMS_57Nxx:1
AMS_57N65:57N65 Algebraic topology of manifolds:AMS_57Nxx:1
AMS_57N70:57N70 Cobordism and concordance:AMS_57Nxx:1
AMS_57N75:57N75 General position and transversality:AMS_57Nxx:1
AMS_57N80:57N80 Stratifications:AMS_57Nxx:1
AMS_57N99:57N99 None of the above, but in this section:AMS_57Nxx:1
AMS_57Pxx:57Pxx Generalized manifolds:AMS_57:0
AMS_57P05:57P05 Local properties of generalized manifolds:AMS_57Pxx:1
AMS_57P10:57P10 Poincar&eacute; duality spaces:AMS_57Pxx:1
AMS_57P99:57P99 None of the above, but in this section:AMS_57Pxx:1
AMS_57Qxx:57Qxx PL-topology:AMS_57:0
AMS_57Q05:57Q05 General topology of complexes:AMS_57Qxx:1
AMS_57Q10:57Q10 Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.:AMS_57Qxx:1
AMS_57Q12:57Q12 Wall finiteness obstruction for CW-complexes:AMS_57Qxx:1
AMS_57Q15:57Q15 Triangulating manifolds:AMS_57Qxx:1
AMS_57Q20:57Q20 Cobordism:AMS_57Qxx:1
AMS_57Q25:57Q25 Comparison of PL-structures: classification, Hauptvermutung:AMS_57Qxx:1
AMS_57Q30:57Q30 Engulfing:AMS_57Qxx:1
AMS_57Q35:57Q35 Embeddings and immersions:AMS_57Qxx:1
AMS_57Q37:57Q37 Isotopy:AMS_57Qxx:1
AMS_57Q40:57Q40 Regular neighborhoods:AMS_57Qxx:1
AMS_57Q45:57Q45 Knots and links (in high dimensions):AMS_57Qxx:1
AMS_57Q50:57Q50 Microbundles and block bundles:AMS_57Qxx:1
AMS_57Q55:57Q55 Approximations:AMS_57Qxx:1
AMS_57Q60:57Q60 Cobordism and concordance:AMS_57Qxx:1
AMS_57Q65:57Q65 General position and transversality:AMS_57Qxx:1
AMS_57Q91:57Q91 Equivariant PL-topology:AMS_57Qxx:1
AMS_57Q99:57Q99 None of the above, but in this section:AMS_57Qxx:1
AMS_57Rxx:57Rxx Differential topology:AMS_57:0
AMS_57R05:57R05 Triangulating:AMS_57Rxx:1
AMS_57R10:57R10 Smoothing:AMS_57Rxx:1
AMS_57R12:57R12 Smooth approximations:AMS_57Rxx:1
AMS_57R15:57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.):AMS_57Rxx:1
AMS_57R17:57R17 Symplectic and contact topology:AMS_57Rxx:1
AMS_57R19:57R19 Algebraic topology on manifolds:AMS_57Rxx:1
AMS_57R20:57R20 Characteristic classes and numbers:AMS_57Rxx:1
AMS_57R22:57R22 Topology of vector bundles and fiber bundles:AMS_57Rxx:1
AMS_57R25:57R25 Vector fields, frame fields:AMS_57Rxx:1
AMS_57R27:57R27 Controllability of vector fields on $C^\infty$ and real-analytic manifolds:AMS_57Rxx:1
AMS_57R30:57R30 Foliations; geometric theory:AMS_57Rxx:1
AMS_57R32:57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology:AMS_57Rxx:1
AMS_57R35:57R35 Differentiable mappings:AMS_57Rxx:1
AMS_57R40:57R40 Embeddings:AMS_57Rxx:1
AMS_57R42:57R42 Immersions:AMS_57Rxx:1
AMS_57R45:57R45 Singularities of differentiable mappings:AMS_57Rxx:1
AMS_57R50:57R50 Diffeomorphisms:AMS_57Rxx:1
AMS_57R52:57R52 Isotopy:AMS_57Rxx:1
AMS_57R55:57R55 Differentiable structures:AMS_57Rxx:1
AMS_57R56:57R56 Topological quantum field theories:AMS_57Rxx:1
AMS_57R57:57R57 Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants:AMS_57Rxx:1
AMS_57R58:57R58 Floer homology:AMS_57Rxx:1
AMS_57R60:57R60 Homotopy spheres, Poincar&eacute; conjecture:AMS_57Rxx:1
AMS_57R65:57R65 Surgery and handlebodies:AMS_57Rxx:1
AMS_57R67:57R67 Surgery obstructions, Wall groups:AMS_57Rxx:1
AMS_57R70:57R70 Critical points and critical submanifolds:AMS_57Rxx:1
AMS_57R75:57R75 O- and SO-cobordism:AMS_57Rxx:1
AMS_57R77:57R77 Complex cobordism (U- and SU-cobordism):AMS_57Rxx:1
AMS_57R80:57R80 $h$- and $s$-cobordism:AMS_57Rxx:1
AMS_57R85:57R85 Equivariant cobordism:AMS_57Rxx:1
AMS_57R90:57R90 Other types of cobordism:AMS_57Rxx:1
AMS_57R91:57R91 Equivariant algebraic topology of manifolds:AMS_57Rxx:1
AMS_57R95:57R95 Realizing cycles by submanifolds:AMS_57Rxx:1
AMS_57R99:57R99 None of the above, but in this section:AMS_57Rxx:1
AMS_57Sxx:57Sxx Topological transformation groups:AMS_57:0
AMS_57S05:57S05 Topological properties of groups of homeomorphisms or diffeomorphisms:AMS_57Sxx:1
AMS_57S10:57S10 Compact groups of homeomorphisms:AMS_57Sxx:1
AMS_57S15:57S15 Compact Lie groups of differentiable transformations:AMS_57Sxx:1
AMS_57S17:57S17 Finite transformation groups:AMS_57Sxx:1
AMS_57S20:57S20 Noncompact Lie groups of transformations:AMS_57Sxx:1
AMS_57S25:57S25 Groups acting on specific manifolds:AMS_57Sxx:1
AMS_57S30:57S30 Discontinuous groups of transformations:AMS_57Sxx:1
AMS_57S99:57S99 None of the above, but in this section:AMS_57Sxx:1
AMS_57Txx:57Txx Homology and homotopy of topological groups and related structures:AMS_57:0
AMS_57T05:57T05 Hopf algebras:AMS_57Txx:1
AMS_57T10:57T10 Homology and cohomology of Lie groups:AMS_57Txx:1
AMS_57T15:57T15 Homology and cohomology of homogeneous spaces of Lie groups:AMS_57Txx:1
AMS_57T20:57T20 Homotopy groups of topological groups and homogeneous spaces:AMS_57Txx:1
AMS_57T25:57T25 Homology and cohomology of $:AMS_57Txx:1
AMS_57T30:57T30 Bar and cobar constructions:AMS_57Txx:1
AMS_57T35:57T35 Applications of Eilenberg-Moore spectral sequences:AMS_57Txx:1
AMS_57T99:57T99 None of the above, but in this section:AMS_57Txx:1
AMS_58:58-XX Global analysis, analysis on manifolds:AMS_5:0
AMS_58Axx:58Axx General theory of differentiable manifolds:AMS_58:0
AMS_58A03:58A03 Topos-theoretic approach to differentiable manifolds:AMS_58Axx:1
AMS_58A05:58A05 Differentiable manifolds, foundations:AMS_58Axx:1
AMS_58A07:58A07 Real-analytic and Nash manifolds:AMS_58Axx:1
AMS_58A10:58A10 Differential forms:AMS_58Axx:1
AMS_58A12:58A12 de Rham theory:AMS_58Axx:1
AMS_58A14:58A14 Hodge theory:AMS_58Axx:1
AMS_58A15:58A15 Exterior differential systems (Cartan theory):AMS_58Axx:1
AMS_58A17:58A17 Pfaffian systems:AMS_58Axx:1
AMS_58A20:58A20 Jets:AMS_58Axx:1
AMS_58A25:58A25 Currents:AMS_58Axx:1
AMS_58A30:58A30 Vector distributions (subbundles of the tangent bundles):AMS_58Axx:1
AMS_58A32:58A32 Natural bundles:AMS_58Axx:1
AMS_58A35:58A35 Stratified sets:AMS_58Axx:1
AMS_58A40:58A40 Differential spaces:AMS_58Axx:1
AMS_58A50:58A50 Supermanifolds and graded manifolds:AMS_58Axx:1
AMS_58A99:58A99 None of the above, but in this section:AMS_58Axx:1
AMS_58Bxx:58Bxx Infinite-dimensional manifolds:AMS_58:0
AMS_58B05:58B05 Homotopy and topological questions:AMS_58Bxx:1
AMS_58B10:58B10 Differentiability questions:AMS_58Bxx:1
AMS_58B12:58B12 Questions of holomorphy:AMS_58Bxx:1
AMS_58B15:58B15 Fredholm structures:AMS_58Bxx:1
AMS_58B20:58B20 Riemannian, Finsler and other geometric structures:AMS_58Bxx:1
AMS_58B25:58B25 Group structures and generalizations on infinite-dimensional manifolds:AMS_58Bxx:1
AMS_58B32:58B32 Geometry of quantum groups:AMS_58Bxx:1
AMS_58B34:58B34 Noncommutative geometry (&agrave; la Connes):AMS_58Bxx:1
AMS_58B99:58B99 None of the above, but in this section:AMS_58Bxx:1
AMS_58Cxx:58Cxx Calculus on manifolds; nonlinear operators:AMS_58:0
AMS_58C05:58C05 Real-valued functions:AMS_58Cxx:1
AMS_58C06:58C06 Set valued and function-space valued mappings:AMS_58Cxx:1
AMS_58C07:58C07 Continuity properties of mappings:AMS_58Cxx:1
AMS_58C10:58C10 Holomorphic maps:AMS_58Cxx:1
AMS_58C15:58C15 Implicit function theorems; global Newton methods:AMS_58Cxx:1
AMS_58C20:58C20 Differentiation theory (Gateaux, Fr&eacute;chet, etc.):AMS_58Cxx:1
AMS_58C25:58C25 Differentiable maps:AMS_58Cxx:1
AMS_58C30:58C30 Fixed point theorems on manifolds:AMS_58Cxx:1
AMS_58C35:58C35 Integration on manifolds; measures on manifolds:AMS_58Cxx:1
AMS_58C40:58C40 Spectral theory; eigenvalue problems:AMS_58Cxx:1
AMS_58C50:58C50 Analysis on supermanifolds or graded manifolds:AMS_58Cxx:1
AMS_58C99:58C99 None of the above, but in this section:AMS_58Cxx:1
### Spaces and manifolds of mappings  *** 
AMS_58Dxx:58Dxx Spaces and manifolds of mappings :AMS_58:0
AMS_58D05:58D05 Groups of diffeomorphisms and homeomorphisms as manifolds:AMS_58Dxx:1
AMS_58D07:58D07 Groups and semigroups of nonlinear operators:AMS_58Dxx:1
AMS_58D10:58D10 Spaces of imbeddings and immersions:AMS_58Dxx:1
AMS_58D15:58D15 Manifolds of mappings:AMS_58Dxx:1
AMS_58D17:58D17 Manifolds of metrics (esp. Riemannian):AMS_58Dxx:1
AMS_58D19:58D19 Group actions and symmetry properties:AMS_58Dxx:1
AMS_58D20:58D20 Measures (Gaussian, cylindrical, etc.) on manifolds of maps:AMS_58Dxx:1
AMS_58D25:58D25 Equations in function spaces; evolution equations:AMS_58Dxx:1
AMS_58D27:58D27 Moduli problems for differential geometric structures:AMS_58Dxx:1
AMS_58D29:58D29 Moduli problems for topological structures:AMS_58Dxx:1
AMS_58D30:58D30 Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.):AMS_58Dxx:1
AMS_58D99:58D99 None of the above, but in this section:AMS_58Dxx:1
AMS_58Exx:58Exx Variational problems in infinite-dimensional spaces:AMS_58:0
AMS_58E05:58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.):AMS_58Exx:1
AMS_58E07:58E07 Abstract bifurcation theory:AMS_58Exx:1
AMS_58E09:58E09 Group-invariant bifurcation theory:AMS_58Exx:1
AMS_58E10:58E10 Applications to the theory of geodesics (problems in one independent variable):AMS_58Exx:1
AMS_58E11:58E11 Critical metrics:AMS_58Exx:1
AMS_58E12:58E12 Applications to minimal surfaces (problems in two independent variables):AMS_58Exx:1
AMS_58E15:58E15 Application to extremal problems in several variables; Yang-Mills functionals:AMS_58Exx:1
AMS_58E17:58E17 Pareto optimality, etc., applications to economics:AMS_58Exx:1
AMS_58E20:58E20 Harmonic maps:AMS_58Exx:1
AMS_58E25:58E25 Applications to control theory:AMS_58Exx:1
AMS_58E30:58E30 Variational principles:AMS_58Exx:1
AMS_58E35:58E35 Variational inequalities (global problems):AMS_58Exx:1
AMS_58E40:58E40 Group actions:AMS_58Exx:1
AMS_58E50:58E50 Applications:AMS_58Exx:1
AMS_58E99:58E99 None of the above, but in this section:AMS_58Exx:1
AMS_58Hxx:58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds:AMS_58:0
AMS_58H05:58H05 Pseudogroups and differentiable groupoids:AMS_58Hxx:1
AMS_58H10:58H10 Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.):AMS_58Hxx:1
AMS_58H15:58H15 Deformations of structures:AMS_58Hxx:1
AMS_58H99:58H99 None of the above, but in this section:AMS_58Hxx:1
AMS_58Jxx:58Jxx Partial differential equations on manifolds:AMS_58:0
AMS_58J05:58J05 Elliptic equations on manifolds, general theory:AMS_58Jxx:1
AMS_58J10:58J10 Differential complexes:AMS_58Jxx:1
AMS_58J15:58J15 Relations with hyperfunctions:AMS_58Jxx:1
AMS_58J20:58J20 Index theory and related fixed point theorems:AMS_58Jxx:1
AMS_58J22:58J22 Exotic index theories:AMS_58Jxx:1
AMS_58J26:58J26 Elliptic genera:AMS_58Jxx:1
AMS_58J28:58J28 Eta-invariants, Chern-Simons invariants:AMS_58Jxx:1
AMS_58J30:58J30 Spectral flows:AMS_58Jxx:1
AMS_58J32:58J32 Boundary value problems on manifolds:AMS_58Jxx:1
AMS_58J35:58J35 Heat and other parabolic equation methods:AMS_58Jxx:1
AMS_58J37:58J37 Perturbations; asymptotics:AMS_58Jxx:1
AMS_58J40:58J40 Pseudodifferential and Fourier integral operators on manifolds:AMS_58Jxx:1
AMS_58J42:58J42 Noncommutative global analysis, noncommutative residues:AMS_58Jxx:1
AMS_58J45:58J45 Hyperbolic equations:AMS_58Jxx:1
AMS_58J47:58J47 Propagation of singularities; initial value problems:AMS_58Jxx:1
AMS_58J50:58J50 Spectral problems; spectral geometry; scattering theory:AMS_58Jxx:1
AMS_58J52:58J52 Determinants and determinant bundles, analytic torsion:AMS_58Jxx:1
AMS_58J53:58J53 Isospectrality:AMS_58Jxx:1
AMS_58J55:58J55 Bifurcation:AMS_58Jxx:1
AMS_58J60:58J60 Relations with special manifold structures (Riemannian, Finsler, etc.):AMS_58Jxx:1
AMS_58J65:58J65 Diffusion processes and stochastic analysis on manifolds:AMS_58Jxx:1
AMS_58J70:58J70 Invariance and symmetry properties:AMS_58Jxx:1
AMS_58J72:58J72 Correspondences and other transformation methods (e.g. Lie-B&auml;cklund):AMS_58Jxx:1
AMS_58J90:58J90 Applications:AMS_58Jxx:1
AMS_58J99:58J99 None of the above, but in this section:AMS_58Jxx:1
AMS_58Kxx:58Kxx Theory of singularities and catastrophe theory:AMS_58:0
AMS_58K05:58K05 Critical points of functions and mappings:AMS_58Kxx:1
AMS_58K10:58K10 Monodromy:AMS_58Kxx:1
AMS_58K15:58K15 Topological properties of mappings:AMS_58Kxx:1
AMS_58K20:58K20 Algebraic and analytic properties of mappings:AMS_58Kxx:1
AMS_58K25:58K25 Stability:AMS_58Kxx:1
AMS_58K30:58K30 Global theory:AMS_58Kxx:1
AMS_58K35:58K35 Catastrophe theory:AMS_58Kxx:1
AMS_58K40:58K40 Classification; finite determinacy of map germs:AMS_58Kxx:1
AMS_58K45:58K45 Singularities of vector fields, topological aspects:AMS_58Kxx:1
AMS_58K50:58K50 Normal forms:AMS_58Kxx:1
AMS_58K55:58K55 Asymptotic behavior:AMS_58Kxx:1
AMS_58K60:58K60 Deformation of singularities:AMS_58Kxx:1
AMS_58K65:58K65 Topological invariants:AMS_58Kxx:1
AMS_58K70:58K70 Symmetries, equivariance:AMS_58Kxx:1
AMS_58K99:58K99 None of the above, but in this section:AMS_58Kxx:1
AMS_60:60-XX Probability theory and stochastic processes:AMS_6:0
AMS_60Axx:60Axx Foundations of probability theory:AMS_60:0
AMS_60A05:60A05 Axioms; other general questions:AMS_60Axx:1
AMS_60A10:60A10 Probabilistic measure theory:AMS_60Axx:1
AMS_60A99:60A99 None of the above, but in this section:AMS_60Axx:1
AMS_60Bxx:60Bxx Probability theory on algebraic and topological structures:AMS_60:0
AMS_60B05:60B05 Probability measures on topological spaces:AMS_60Bxx:1
AMS_60B10:60B10 Convergence of probability measures:AMS_60Bxx:1
AMS_60B11:60B11 Probability theory on linear topological spaces:AMS_60Bxx:1
AMS_60B12:60B12 Limit theorems for vector-valued random variables (infinite-dimensional case):AMS_60Bxx:1
AMS_60B15:60B15 Probability measures on groups, Fourier transforms, factorization:AMS_60Bxx:1
AMS_60B99:60B99 None of the above, but in this section:AMS_60Bxx:1
AMS_60Exx:60Exx Distribution theory:AMS_60:0
AMS_60E05:60E05 Distributions: general theory:AMS_60Exx:1
AMS_60E07:60E07 Infinitely divisible distributions; stable distributions:AMS_60Exx:1
AMS_60E10:60E10 Characteristic functions; other transforms:AMS_60Exx:1
AMS_60E15:60E15 Inequalities; stochastic orderings:AMS_60Exx:1
AMS_60E99:60E99 None of the above, but in this section:AMS_60Exx:1
AMS_60Fxx:60Fxx Limit theorems:AMS_60:0
AMS_60F05:60F05 Central limit and other weak theorems:AMS_60Fxx:1
AMS_60F10:60F10 Large deviations:AMS_60Fxx:1
AMS_60F15:60F15 Strong theorems:AMS_60Fxx:1
AMS_60F17:60F17 Functional limit theorems; invariance principles:AMS_60Fxx:1
AMS_60F20:60F20 Zero-one laws:AMS_60Fxx:1
AMS_60F25:60F25 $L^p$-limit theorems:AMS_60Fxx:1
AMS_60F99:60F99 None of the above, but in this section:AMS_60Fxx:1
AMS_60Gxx:60Gxx Stochastic processes:AMS_60:0
AMS_60G05:60G05 Foundations of stochastic processes:AMS_60Gxx:1
AMS_60G07:60G07 General theory of processes:AMS_60Gxx:1
AMS_60G09:60G09 Exchangeability:AMS_60Gxx:1
AMS_60G10:60G10 Stationary processes:AMS_60Gxx:1
AMS_60G12:60G12 General second-order processes:AMS_60Gxx:1
AMS_60G15:60G15 Gaussian processes:AMS_60Gxx:1
AMS_60G17:60G17 Sample path properties:AMS_60Gxx:1
AMS_60G18:60G18 Self-similar processes:AMS_60Gxx:1
AMS_60G20:60G20 Generalized stochastic processes:AMS_60Gxx:1
AMS_60G25:60G25 Prediction theory:AMS_60Gxx:1
AMS_60G30:60G30 Continuity and singularity of induced measures:AMS_60Gxx:1
AMS_60G35:60G35 Applications (signal detection, filtering, etc.):AMS_60Gxx:1
AMS_60G40:60G40 Stopping times; optimal stopping problems; gambling theory:AMS_60Gxx:1
AMS_60G42:60G42 Martingales with discrete parameter:AMS_60Gxx:1
AMS_60G44:60G44 Martingales with continuous parameter:AMS_60Gxx:1
AMS_60G46:60G46 Martingales and classical analysis:AMS_60Gxx:1
AMS_60G48:60G48 Generalizations of martingales:AMS_60Gxx:1
AMS_60G50:60G50 Sums of independent random variables; random walks:AMS_60Gxx:1
AMS_60G51:60G51 Processes with independent increments:AMS_60Gxx:1
AMS_60G52:60G52 Stable processes:AMS_60Gxx:1
AMS_60G55:60G55 Point processes:AMS_60Gxx:1
AMS_60G57:60G57 Random measures:AMS_60Gxx:1
AMS_60G60:60G60 Random fields:AMS_60Gxx:1
AMS_60G70:60G70 Extreme value theory; extremal processes:AMS_60Gxx:1
AMS_60G99:60G99 None of the above, but in this section:AMS_60Gxx:1
AMS_60Hxx:60Hxx Stochastic analysis:AMS_60:0
AMS_60H05:60H05 Stochastic integrals:AMS_60Hxx:1
AMS_60H07:60H07 Stochastic calculus of variations and the Malliavin calculus:AMS_60Hxx:1
AMS_60H10:60H10 Stochastic ordinary differential equations:AMS_60Hxx:1
AMS_60H15:60H15 Stochastic partial differential equations:AMS_60Hxx:1
AMS_60H20:60H20 Stochastic integral equations:AMS_60Hxx:1
AMS_60H25:60H25 Random operators and equations:AMS_60Hxx:1
AMS_60H30:60H30 Applications of stochastic analysis (to PDE, etc.):AMS_60Hxx:1
AMS_60H35:60H35 Computational methods for  stochastic equations:AMS_60Hxx:1
AMS_60H40:60H40 White noise theory:AMS_60Hxx:1
AMS_60H99:60H99 None of the above, but in this section:AMS_60Hxx:1
AMS_60Jxx:60Jxx Markov processes:AMS_60:0
AMS_60J05:60J05 Markov processes with discrete parameter:AMS_60Jxx:1
AMS_60J10:60J10 Markov chains with discrete parameter:AMS_60Jxx:1
AMS_60J20:60J20 Applications of discrete Markov processes (social mobility, learning theory, industrial processes, etc.):AMS_60Jxx:1
AMS_60J22:60J22 Computational methods in Markov chains:AMS_60Jxx:1
AMS_60J25:60J25 Markov processes with continuous parameter:AMS_60Jxx:1
AMS_60J27:60J27 Markov chains with continuous parameter:AMS_60Jxx:1
AMS_60J35:60J35 Transition functions, generators and resolvents:AMS_60Jxx:1
AMS_60J40:60J40 Right processes:AMS_60Jxx:1
AMS_60J45:60J45 Probabilistic potential theory:AMS_60Jxx:1
AMS_60J50:60J50 Boundary theory:AMS_60Jxx:1
AMS_60J55:60J55 Local time and additive functionals:AMS_60Jxx:1
AMS_60J57:60J57 Multiplicative functionals:AMS_60Jxx:1
AMS_60J60:60J60 Diffusion processes:AMS_60Jxx:1
AMS_60J65:60J65 Brownian motion:AMS_60Jxx:1
AMS_60J70:60J70 Applications of diffusion theory (population genetics, absorption problems, etc.):AMS_60Jxx:1
AMS_60J75:60J75 Jump processes:AMS_60Jxx:1
AMS_60J80:60J80 Branching processes (Galton-Watson, birth-and-death, etc.):AMS_60Jxx:1
AMS_60J85:60J85 Applications of branching processes:AMS_60Jxx:1
AMS_60J99:60J99 None of the above, but in this section:AMS_60Jxx:1
AMS_60Kxx:60Kxx Special processes:AMS_60:0
AMS_60K05:60K05 Renewal theory:AMS_60Kxx:1
AMS_60K10:60K10 Applications (reliability, demand theory, etc.):AMS_60Kxx:1
AMS_60K15:60K15 Markov renewal processes, semi-Markov processes:AMS_60Kxx:1
AMS_60K20:60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.):AMS_60Kxx:1
AMS_60K25:60K25 Queueing theory:AMS_60Kxx:1
AMS_60K30:60K30 Applications (congestion, allocation, storage, traffic, etc.):AMS_60Kxx:1
AMS_60K35:60K35 Interacting random processes; statistical mechanics type models; percolation theory:AMS_60Kxx:1
AMS_60K37:60K37 Processes in random environments:AMS_60Kxx:1
AMS_60K40:60K40 Other physical applications of random processes:AMS_60Kxx:1
AMS_60K99:60K99 None of the above, but in this section:AMS_60Kxx:1
AMS_62:62-XX Statistics:AMS_6:0
AMS_62Bxx:62Bxx Sufficiency and information:AMS_62:0
AMS_62B05:62B05 Sufficient statistics and fields:AMS_62Bxx:1
AMS_62B10:62B10 Information-theoretic topics:AMS_62Bxx:1
AMS_62B15:62B15 Theory of statistical experiments:AMS_62Bxx:1
AMS_62B99:62B99 None of the above, but in this section:AMS_62Bxx:1
AMS_62Cxx:62Cxx Decision theory:AMS_62:0
AMS_62C05:62C05 General considerations:AMS_62Cxx:1
AMS_62C07:62C07 Complete class results:AMS_62Cxx:1
AMS_62C10:62C10 Bayesian problems; characterization of Bayes procedures:AMS_62Cxx:1
AMS_62C12:62C12 Empirical decision procedures; empirical Bayes procedures:AMS_62Cxx:1
AMS_62C15:62C15 Admissibility:AMS_62Cxx:1
AMS_62C20:62C20 Minimax procedures:AMS_62Cxx:1
AMS_62C25:62C25 Compound decision problems:AMS_62Cxx:1
AMS_62C99:62C99 None of the above, but in this section:AMS_62Cxx:1
AMS_62Exx:62Exx Distribution theory:AMS_62:0
AMS_62E10:62E10 Characterization and structure theory:AMS_62Exx:1
AMS_62E15:62E15 Exact distribution theory:AMS_62Exx:1
AMS_62E17:62E17 Approximations to distributions (nonasymptotic):AMS_62Exx:1
AMS_62E20:62E20 Asymptotic distribution theory:AMS_62Exx:1
AMS_62E99:62E99 None of the above, but in this section:AMS_62Exx:1
AMS_62Fxx:62Fxx Parametric inference:AMS_62:0
AMS_62F03:62F03 Hypothesis testing:AMS_62Fxx:1
AMS_62F05:62F05 Asymptotic properties of tests:AMS_62Fxx:1
AMS_62F07:62F07 Ranking and selection:AMS_62Fxx:1
AMS_62F10:62F10 Point estimation:AMS_62Fxx:1
AMS_62F12:62F12 Asymptotic properties of estimators:AMS_62Fxx:1
AMS_62F15:62F15 Bayesian inference:AMS_62Fxx:1
AMS_62F25:62F25 Tolerance and confidence regions:AMS_62Fxx:1
AMS_62F30:62F30 Inference under constraints:AMS_62Fxx:1
AMS_62F35:62F35 Robustness and adaptive procedures:AMS_62Fxx:1
AMS_62F40:62F40 Bootstrap, jackknife and other resampling methods:AMS_62Fxx:1
AMS_62F99:62F99 None of the above, but in this section:AMS_62Fxx:1
AMS_62Gxx:62Gxx Nonparametric inference:AMS_62:0
AMS_62G05:62G05 Estimation:AMS_62Gxx:1
AMS_62G07:62G07 Density estimation:AMS_62Gxx:1
AMS_62G08:62G08 Nonparametric regression:AMS_62Gxx:1
AMS_62G09:62G09 Resampling methods:AMS_62Gxx:1
AMS_62G10:62G10 Hypothesis testing:AMS_62Gxx:1
AMS_62G15:62G15 Tolerance and confidence regions:AMS_62Gxx:1
AMS_62G20:62G20 Asymptotic properties:AMS_62Gxx:1
AMS_62G30:62G30 Order statistics; empirical distribution functions:AMS_62Gxx:1
AMS_62G32:62G32 Statistics of extreme values; tail inference:AMS_62Gxx:1
AMS_62G35:62G35 Robustness:AMS_62Gxx:1
AMS_62G99:62G99 None of the above, but in this section:AMS_62Gxx:1
AMS_62Hxx:62Hxx Multivariate analysis:AMS_62:0
AMS_62H05:62H05 Characterization and structure theory:AMS_62Hxx:1
AMS_62H10:62H10 Distribution of statistics:AMS_62Hxx:1
AMS_62H11:62H11 Directional data; spatial statistics:AMS_62Hxx:1
AMS_62H12:62H12 Estimation:AMS_62Hxx:1
AMS_62H15:62H15 Hypothesis testing:AMS_62Hxx:1
AMS_62H17:62H17 Contingency tables:AMS_62Hxx:1
AMS_62H20:62H20 Measures of association (correlation, canonical correlation, etc.):AMS_62Hxx:1
AMS_62H25:62H25 Factor analysis and principal components; correspondence analysis:AMS_62Hxx:1
AMS_62H30:62H30 Classification and discrimination; cluster analysis:AMS_62Hxx:1
AMS_62H35:62H35 Image analysis:AMS_62Hxx:1
AMS_62H99:62H99 None of the above, but in this section:AMS_62Hxx:1
AMS_62Jxx:62Jxx Linear inference, regression:AMS_62:0
AMS_62J02:62J02 General nonlinear regression:AMS_62Jxx:1
AMS_62J05:62J05 Linear regression:AMS_62Jxx:1
AMS_62J07:62J07 Ridge regression; shrinkage estimators:AMS_62Jxx:1
AMS_62J10:62J10 Analysis of variance and covariance:AMS_62Jxx:1
AMS_62J12:62J12 Generalized linear models:AMS_62Jxx:1
AMS_62J15:62J15 Paired and multiple comparisons:AMS_62Jxx:1
AMS_62J20:62J20 Diagnostics:AMS_62Jxx:1
AMS_62J99:62J99 None of the above, but in this section:AMS_62Jxx:1
AMS_62Kxx:62Kxx Design of experiments:AMS_62:0
AMS_62K05:62K05 Optimal designs:AMS_62Kxx:1
AMS_62K10:62K10 Block designs:AMS_62Kxx:1
AMS_62K15:62K15 Factorial designs:AMS_62Kxx:1
AMS_62K20:62K20 Response surface designs:AMS_62Kxx:1
AMS_62K25:62K25 Robust parameter designs:AMS_62Kxx:1
AMS_62K99:62K99 None of the above, but in this section:AMS_62Kxx:1
AMS_62Lxx:62Lxx Sequential methods:AMS_62:0
AMS_62L05:62L05 Sequential design:AMS_62Lxx:1
AMS_62L10:62L10 Sequential analysis:AMS_62Lxx:1
AMS_62L12:62L12 Sequential estimation:AMS_62Lxx:1
AMS_62L15:62L15 Optimal stopping:AMS_62Lxx:1
AMS_62L20:62L20 Stochastic approximation:AMS_62Lxx:1
AMS_62L99:62L99 None of the above, but in this section:AMS_62Lxx:1
AMS_62Mxx:62Mxx Inference from stochastic processes:AMS_62:0
AMS_62M02:62M02 Markov processes: hypothesis testing:AMS_62Mxx:1
AMS_62M05:62M05 Markov processes: estimation:AMS_62Mxx:1
AMS_62M07:62M07 Non-Markovian processes: hypothesis testing:AMS_62Mxx:1
AMS_62M09:62M09 Non-Markovian processes: estimation:AMS_62Mxx:1
AMS_62M10:62M10 Time series, auto-correlation, regression, etc.:AMS_62Mxx:1
AMS_62M15:62M15 Spectral analysis:AMS_62Mxx:1
AMS_62M20:62M20 Prediction:AMS_62Mxx:1
AMS_62M30:62M30 Spatial processes:AMS_62Mxx:1
AMS_62M40:62M40 Random fields; image analysis:AMS_62Mxx:1
AMS_62M45:62M45 Neural nets and related approaches:AMS_62Mxx:1
AMS_62M99:62M99 None of the above, but in this section:AMS_62Mxx:1
AMS_62Nxx:62Nxx Survival analysis and censored data:AMS_62:0
AMS_62N01:62N01 Censored data models:AMS_62Nxx:1
AMS_62N02:62N02 Estimation:AMS_62Nxx:1
AMS_62N03:62N03 Testing:AMS_62Nxx:1
AMS_62N05:62N05 Reliability and life testing:AMS_62Nxx:1
AMS_62N99:62N99 None of the above, but in this section:AMS_62Nxx:1
AMS_62Pxx:62Pxx Applications:AMS_62:0
AMS_62P05:62P05 Applications to actuarial sciences and financial mathematics:AMS_62Pxx:1
AMS_62P10:62P10 Applications to biology and medical sciences:AMS_62Pxx:1
AMS_62P12:62P12 Applications to environmental and related topics:AMS_62Pxx:1
AMS_62P15:62P15 Applications to psychology:AMS_62Pxx:1
AMS_62P20:62P20 Applications to economics:AMS_62Pxx:1
AMS_62P25:62P25 Applications to social sciences:AMS_62Pxx:1
AMS_62P30:62P30 Applications in engineering and industry:AMS_62Pxx:1
AMS_62P35:62P35 Applications to physics:AMS_62Pxx:1
AMS_62P99:62P99 None of the above, but in this section:AMS_62Pxx:1
AMS_65:65-XX Numerical analysis:AMS_6:0
AMS_65Bxx:65Bxx Acceleration of convergence:AMS_65:0
AMS_65B05:65B05 Extrapolation to the limit, deferred corrections:AMS_65Bxx:1
AMS_65B10:65B10 Summation of series:AMS_65Bxx:1
AMS_65B15:65B15 Euler-Maclaurin formula:AMS_65Bxx:1
AMS_65B99:65B99 None of the above, but in this section:AMS_65Bxx:1
AMS_65Cxx:65Cxx Probabilistic methods, simulation and stochastic differential equations:AMS_65:0
AMS_65C05:65C05 Monte Carlo methods:AMS_65Cxx:1
AMS_65C10:65C10 Random number generation:AMS_65Cxx:1
AMS_65C20:65C20 Models, numerical methods:AMS_65Cxx:1
AMS_65C30:65C30 Stochastic differential and integral equations:AMS_65Cxx:1
AMS_65C35:65C35 Stochastic particle methods:AMS_65Cxx:1
AMS_65C40:65C40 Computational Markov chains:AMS_65Cxx:1
AMS_65C50:65C50 Other computational problems in probability:AMS_65Cxx:1
AMS_65C60:65C60 Computational problems in statistics:AMS_65Cxx:1
AMS_65C99:65C99 None of the above, but in this section:AMS_65Cxx:1
AMS_65Dxx:65Dxx Numerical approximation and computational geometry (primarily algorithms):AMS_65:0
AMS_65D05:65D05 Interpolation:AMS_65Dxx:1
AMS_65D07:65D07 Splines:AMS_65Dxx:1
AMS_65D10:65D10 Smoothing, curve fitting:AMS_65Dxx:1
AMS_65D15:65D15 Algorithms for functional approximation:AMS_65Dxx:1
AMS_65D17:65D17 Computer aided design (modeling of curves and surfaces):AMS_65Dxx:1
AMS_65D18:65D18 Computer graphics and computational geometry:AMS_65Dxx:1
AMS_65D20:65D20 Computation of special functions, construction of tables:AMS_65Dxx:1
AMS_65D25:65D25 Numerical differentiation:AMS_65Dxx:1
AMS_65D30:65D30 Numerical integration:AMS_65Dxx:1
AMS_65D32:65D32 Quadrature and cubature formulas:AMS_65Dxx:1
AMS_65D99:65D99 None of the above, but in this section:AMS_65Dxx:1
AMS_65Fxx:65Fxx Numerical linear algebra:AMS_65:0
AMS_65F05:65F05  Direct methods for linear systems and matrix inversion:AMS_65Fxx:1
AMS_65F10:65F10  Iterative methods for linear systems:AMS_65Fxx:1
AMS_65F15:65F15 Eigenvalues, eigenvectors:AMS_65Fxx:1
AMS_65F18:65F18 Inverse eigenvalue problems:AMS_65Fxx:1
AMS_65F20:65F20 Overdetermined systems, pseudoinverses:AMS_65Fxx:1
AMS_65F22:65F22 Ill-posedness, regularization:AMS_65Fxx:1
AMS_65F25:65F25 Orthogonalization:AMS_65Fxx:1
AMS_65F30:65F30 Other matrix algorithms:AMS_65Fxx:1
AMS_65F35:65F35 Matrix norms, conditioning, scaling:AMS_65Fxx:1
AMS_65F40:65F40 Determinants:AMS_65Fxx:1
AMS_65F50:65F50 Sparse matrices:AMS_65Fxx:1
AMS_65F99:65F99 None of the above, but in this section:AMS_65Fxx:1
AMS_65Gxx:65Gxx Error analysis and interval analysis:AMS_65:0
AMS_65G20:65G20 Algorithms with automatic result verification:AMS_65Gxx:1
AMS_65G30:65G30 Interval and finite arithmetic:AMS_65Gxx:1
AMS_65G40:65G40 General methods in interval analysis:AMS_65Gxx:1
AMS_65G50:65G50 Roundoff error:AMS_65Gxx:1
AMS_65G99:65G99 None of the above, but in this section:AMS_65Gxx:1
AMS_65Hxx:65Hxx Nonlinear algebraic or transcendental equations:AMS_65:0
AMS_65H05:65H05 Single equations:AMS_65Hxx:1
AMS_65H10:65H10 Systems of equations:AMS_65Hxx:1
AMS_65H17:65H17 Eigenvalues, eigenvectors:AMS_65Hxx:1
AMS_65H20:65H20 Global methods, including homotopy approaches:AMS_65Hxx:1
AMS_65H99:65H99 None of the above, but in this section:AMS_65Hxx:1
AMS_65Jxx:65Jxx Numerical analysis in abstract spaces:AMS_65:0
AMS_65J05:65J05 General theory:AMS_65Jxx:1
AMS_65J10:65J10 Equations with linear operators (do not use <A HREF="http:65Fxx.html">65Fxx</A>):AMS_65Jxx:1
AMS_65J15:65J15 Equations with nonlinear operators (do not use <A HREF="http:65Hxx.html">65Hxx</A>):AMS_65Jxx:1
AMS_65J20:65J20 Improperly posed problems; regularization:AMS_65Jxx:1
AMS_65J22:65J22 Inverse problems:AMS_65Jxx:1
AMS_65J99:65J99 None of the above, but in this section:AMS_65Jxx:1
AMS_65Kxx:65Kxx Mathematical programming, optimization and variational techniques:AMS_65:0
AMS_65K05:65K05 Mathematical programming:AMS_65Kxx:1
AMS_65K10:65K10 Optimization and variational techniques:AMS_65Kxx:1
AMS_65K99:65K99 None of the above, but in this section:AMS_65Kxx:1
AMS_65Lxx:65Lxx Ordinary differential equations:AMS_65:0
AMS_65L05:65L05 Initial value problems:AMS_65Lxx:1
AMS_65L06:65L06 Multistep, Runge-Kutta and extrapolation methods:AMS_65Lxx:1
AMS_65L07:65L07 Numerical investigation of stability of solutions:AMS_65Lxx:1
AMS_65L08:65L08 Improperly posed problems:AMS_65Lxx:1
AMS_65L09:65L09 Inverse problems:AMS_65Lxx:1
AMS_65L10:65L10 Boundary value problems:AMS_65Lxx:1
AMS_65L12:65L12 Finite difference methods:AMS_65Lxx:1
AMS_65L15:65L15 Eigenvalue problems:AMS_65Lxx:1
AMS_65L20:65L20 Stability and convergence of numerical methods:AMS_65Lxx:1
AMS_65L50:65L50 Mesh generation and refinement:AMS_65Lxx:1
AMS_65L60:65L60 Finite elements, Rayleigh-Ritz, Galerkin and collocation methods:AMS_65Lxx:1
AMS_65L70:65L70 Error bounds:AMS_65Lxx:1
AMS_65L80:65L80 Methods for differential-algebraic equations:AMS_65Lxx:1
AMS_65L99:65L99 None of the above, but in this section:AMS_65Lxx:1
AMS_65Mxx:65Mxx Partial differential equations, initial value and time-dependent initial-boundary value problems:AMS_65:0
AMS_65M06:65M06 Finite difference methods:AMS_65Mxx:1
AMS_65M12:65M12 Stability and convergence of numerical methods:AMS_65Mxx:1
AMS_65M15:65M15 Error bounds:AMS_65Mxx:1
AMS_65M20:65M20 Method of lines:AMS_65Mxx:1
AMS_65M25:65M25 Method of characteristics:AMS_65Mxx:1
AMS_65M30:65M30 Improperly posed problems:AMS_65Mxx:1
AMS_65M32:65M32 Inverse problems:AMS_65Mxx:1
AMS_65M50:65M50 Mesh generation and refinement:AMS_65Mxx:1
AMS_65M55:65M55 Multigrid methods; domain decomposition:AMS_65Mxx:1
AMS_65M60:65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods:AMS_65Mxx:1
AMS_65M70:65M70 Spectral, collocation and related methods:AMS_65Mxx:1
AMS_65M99:65M99 None of the above, but in this section:AMS_65Mxx:1
AMS_65Nxx:65Nxx Partial differential equations, boundary value problems:AMS_65:0
AMS_65N06:65N06 Finite difference methods:AMS_65Nxx:1
AMS_65N12:65N12 Stability and convergence of numerical methods:AMS_65Nxx:1
AMS_65N15:65N15 Error bounds:AMS_65Nxx:1
AMS_65N21:65N21 Inverse problems:AMS_65Nxx:1
AMS_65N22:65N22 Solution of discretized equations:AMS_65Nxx:1
AMS_65N25:65N25 Eigenvalue problems:AMS_65Nxx:1
AMS_65N30:65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods:AMS_65Nxx:1
AMS_65N35:65N35 Spectral, collocation and related methods:AMS_65Nxx:1
AMS_65N38:65N38 Boundary element methods:AMS_65Nxx:1
AMS_65N40:65N40 Method of lines:AMS_65Nxx:1
AMS_65N45:65N45 Method of contraction of the boundary:AMS_65Nxx:1
AMS_65N50:65N50 Mesh generation and refinement:AMS_65Nxx:1
AMS_65N55:65N55 Multigrid methods; domain decomposition:AMS_65Nxx:1
AMS_65N99:65N99 None of the above, but in this section:AMS_65Nxx:1
AMS_65Pxx:65Pxx Numerical problems in dynamical systems:AMS_65:0
AMS_65P10:65P10 Hamiltonian systems including symplectic integrators:AMS_65Pxx:1
AMS_65P20:65P20 Numerical chaos:AMS_65Pxx:1
AMS_65P30:65P30 Bifurcation problems:AMS_65Pxx:1
AMS_65P40:65P40 Nonlinear stabilities:AMS_65Pxx:1
AMS_65P99:65P99 None of the above, but in this section:AMS_65Pxx:1
AMS_65Rxx:65Rxx Integral equations, integral transforms:AMS_65:0
AMS_65R10:65R10 Integral transforms:AMS_65Rxx:1
AMS_65R20:65R20 Integral equations:AMS_65Rxx:1
AMS_65R30:65R30 Improperly posed problems:AMS_65Rxx:1
AMS_65R32:65R32 Inverse problems:AMS_65Rxx:1
AMS_65R99:65R99 None of the above, but in this section:AMS_65Rxx:1
AMS_65Txx:65Txx Numerical methods in Fourier analysis:AMS_65:0
AMS_65T40:65T40 Trigonometric approximation and interpolation:AMS_65Txx:1
AMS_65T50:65T50 Discrete and fast Fourier transforms:AMS_65Txx:1
AMS_65T60:65T60 Wavelets:AMS_65Txx:1
AMS_65T99:65T99 None of the above, but in this section:AMS_65Txx:1
AMS_65Yxx:65Yxx Computer aspects of numerical algorithms:AMS_65:0
AMS_65Y05:65Y05 Parallel computation:AMS_65Yxx:1
AMS_65Y10:65Y10 Algorithms for specific classes of architectures:AMS_65Yxx:1
AMS_65Y15:65Y15 Packaged methods:AMS_65Yxx:1
AMS_65Y20:65Y20 Complexity and performance of numerical algorithms:AMS_65Yxx:1
AMS_65Y99:65Y99 None of the above, but in this section:AMS_65Yxx:1
AMS_68:68-XX Computer science:AMS_6:0
AMS_68Mxx:68Mxx Computer system organization:AMS_68:0
AMS_68M01:68M01 General:AMS_68Mxx:1
AMS_68M07:68M07 Mathematical problems of computer architecture:AMS_68Mxx:1
AMS_68M10:68M10 Network design and communication:AMS_68Mxx:1
AMS_68M12:68M12 Network protocols:AMS_68Mxx:1
AMS_68M14:68M14 Distributed systems:AMS_68Mxx:1
AMS_68M15:68M15 Reliability, testing and fault tolerance:AMS_68Mxx:1
AMS_68M20:68M20 Performance evaluation; queueing; scheduling:AMS_68Mxx:1
AMS_68M99:68M99 None of the above, but in this section:AMS_68Mxx:1
AMS_68Nxx:68Nxx Software:AMS_68:0
AMS_68N01:68N01 General:AMS_68Nxx:1
AMS_68N15:68N15 Programming languages:AMS_68Nxx:1
AMS_68N17:68N17 Logic programming:AMS_68Nxx:1
AMS_68N18:68N18 Functional programming and lambda calculus:AMS_68Nxx:1
AMS_68N19:68N19 Other programming techniques (object-oriented, sequential, concurrent, automatic, etc.):AMS_68Nxx:1
AMS_68N20:68N20 Compilers and interpreters:AMS_68Nxx:1
AMS_68N25:68N25 Operating systems:AMS_68Nxx:1
AMS_68N30:68N30 Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.):AMS_68Nxx:1
AMS_68N99:68N99 None of the above, but in this section:AMS_68Nxx:1
AMS_68Pxx:68Pxx Theory of data:AMS_68:0
AMS_68P01:68P01 General:AMS_68Pxx:1
AMS_68P05:68P05 Data structures:AMS_68Pxx:1
AMS_68P10:68P10 Searching and sorting:AMS_68Pxx:1
AMS_68P15:68P15 Database theory:AMS_68Pxx:1
AMS_68P20:68P20 Information storage and retrieval:AMS_68Pxx:1
AMS_68P25:68P25 Data encryption:AMS_68Pxx:1
AMS_68P30:68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.):AMS_68Pxx:1
AMS_68P99:68P99 None of the above, but in this section:AMS_68Pxx:1
AMS_68Qxx:68Qxx Theory of computing:AMS_68:0
AMS_68Q01:68Q01 General:AMS_68Qxx:1
AMS_68Q05:68Q05 Models of computation (Turing machines, etc.):AMS_68Qxx:1
AMS_68Q10:68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.):AMS_68Qxx:1
AMS_68Q15:68Q15 Complexity classes (hierarchies, relations among complexity classes, etc.):AMS_68Qxx:1
AMS_68Q17:68Q17 Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.):AMS_68Qxx:1
AMS_68Q19:68Q19 Descriptive complexity and finite models:AMS_68Qxx:1
AMS_68Q25:68Q25 Analysis of algorithms and problem complexity:AMS_68Qxx:1
AMS_68Q30:68Q30 Algorithmic information theory (Kolmogorov complexity, etc.):AMS_68Qxx:1
AMS_68Q32:68Q32 Computational learning theory:AMS_68Qxx:1
AMS_68Q42:68Q42 Grammars and rewriting systems:AMS_68Qxx:1
AMS_68Q45:68Q45 Formal languages and automata:AMS_68Qxx:1
AMS_68Q55:68Q55 Semantics:AMS_68Qxx:1
AMS_68Q60:68Q60 Specification and verification (program logics, model checking, etc.):AMS_68Qxx:1
AMS_68Q65:68Q65 Abstract data types; algebraic specification:AMS_68Qxx:1
AMS_68Q70:68Q70 Algebraic theory of languages and automata:AMS_68Qxx:1
AMS_68Q80:68Q80 Cellular automata:AMS_68Qxx:1
AMS_68Q85:68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.):AMS_68Qxx:1
AMS_68Q99:68Q99 None of the above, but in this section:AMS_68Qxx:1
AMS_68Rxx:68Rxx Discrete mathematics in relation to computer science:AMS_68:0
AMS_68R01:68R01 General:AMS_68Rxx:1
AMS_68R05:68R05 Combinatorics:AMS_68Rxx:1
AMS_68R10:68R10 Graph theory:AMS_68Rxx:1
AMS_68R15:68R15 Combinatorics on words:AMS_68Rxx:1
AMS_68R99:68R99 None of the above, but in this section:AMS_68Rxx:1
AMS_68Txx:68Txx Artificial intelligence:AMS_68:0
AMS_68T01:68T01 General:AMS_68Txx:1
AMS_68T05:68T05 Learning and adaptive systems:AMS_68Txx:1
AMS_68T10:68T10 Pattern recognition, speech recognition:AMS_68Txx:1
AMS_68T15:68T15 Theorem proving (deduction, resolution, etc.):AMS_68Txx:1
AMS_68T20:68T20 Problem solving (heuristics, search strategies, etc.):AMS_68Txx:1
AMS_68T27:68T27 Logic in artificial intelligence:AMS_68Txx:1
AMS_68T30:68T30 Knowledge representation:AMS_68Txx:1
AMS_68T35:68T35 Languages and software systems (knowledge-based systems, expert systems, etc.):AMS_68Txx:1
AMS_68T37:68T37 Reasoning under uncertainty:AMS_68Txx:1
AMS_68T40:68T40 Robotics:AMS_68Txx:1
AMS_68T45:68T45 Machine vision and scene understanding:AMS_68Txx:1
AMS_68T50:68T50 Natural language processing:AMS_68Txx:1
AMS_68T99:68T99 None of the above, but in this section:AMS_68Txx:1
AMS_68Uxx:68Uxx Computing methodologies and applications:AMS_68:0
AMS_68U01:68U01 General:AMS_68Uxx:1
AMS_68U05:68U05 Computer graphics; computational geometry:AMS_68Uxx:1
AMS_68U07:68U07 Computer-aided design:AMS_68Uxx:1
AMS_68U10:68U10 Image processing:AMS_68Uxx:1
AMS_68U15:68U15 Text processing; mathematical typography:AMS_68Uxx:1
AMS_68U20:68U20 Simulation:AMS_68Uxx:1
AMS_68U35:68U35 Information systems (hypertext navigation, interfaces, decision support, etc.):AMS_68Uxx:1
AMS_68U99:68U99 None of the above, but in this section:AMS_68Uxx:1
AMS_68Wxx:68Wxx Algorithms:AMS_68:0
AMS_68W01:68W01 General:AMS_68Wxx:1
AMS_68W05:68W05 Nonnumerical algorithms:AMS_68Wxx:1
AMS_68W10:68W10 Parallel algorithms:AMS_68Wxx:1
AMS_68W15:68W15 Distributed algorithms:AMS_68Wxx:1
AMS_68W20:68W20 Randomized algorithms:AMS_68Wxx:1
AMS_68W25:68W25 Approximation algorithms:AMS_68Wxx:1
AMS_68W30:68W30 Symbolic computation and algebraic computation:AMS_68Wxx:1
AMS_68W35:68W35 VLSI algorithms:AMS_68Wxx:1
AMS_68W40:68W40 Analysis of algorithms:AMS_68Wxx:1
AMS_68W99:68W99 None of the above, but in this section:AMS_68Wxx:1
AMS_70:70-XX Mechanics of particles and systems:AMS_7:0
AMS_70Bxx:70Bxx Kinematics:AMS_70:0
AMS_70B05:70B05 Kinematics of a particle:AMS_70Bxx:1
AMS_70B10:70B10 Kinematics of a rigid body:AMS_70Bxx:1
AMS_70B15:70B15 Mechanisms, robots:AMS_70Bxx:1
AMS_70B99:70B99 None of the above, but in this section:AMS_70Bxx:1
AMS_70Exx:70Exx Dynamics of a rigid body and of multibody systems:AMS_70:0
AMS_70E05:70E05 Motion of the gyroscope:AMS_70Exx:1
AMS_70E15:70E15 Free motion of a rigid body:AMS_70Exx:1
AMS_70E17:70E17 Motion of a rigid body with a fixed point:AMS_70Exx:1
AMS_70E18:70E18 Motion of a rigid body in contact with a solid surface:AMS_70Exx:1
AMS_70E20:70E20 Perturbation methods for  rigid body dynamics:AMS_70Exx:1
AMS_70E40:70E40 Integrable cases of motion:AMS_70Exx:1
AMS_70E45:70E45 Higher-dimensional generalizations:AMS_70Exx:1
AMS_70E50:70E50 Stability problems:AMS_70Exx:1
AMS_70E55:70E55 Dynamics of multibody systems:AMS_70Exx:1
AMS_70E60:70E60 Robot dynamics and control:AMS_70Exx:1
AMS_70E99:70E99 None of the above, but in this section:AMS_70Exx:1
AMS_70Fxx:70Fxx Dynamics of a system of particles, including celestial mechanics:AMS_70:0
AMS_70F05:70F05 Two-body problems:AMS_70Fxx:1
AMS_70F07:70F07 Three-body problems:AMS_70Fxx:1
AMS_70F10:70F10 $n$-body problems:AMS_70Fxx:1
AMS_70F15:70F15 Celestial mechanics:AMS_70Fxx:1
AMS_70F16:70F16 Collisions in celestial mechanics, regularization:AMS_70Fxx:1
AMS_70F17:70F17 Inverse problems:AMS_70Fxx:1
AMS_70F20:70F20 Holonomic systems:AMS_70Fxx:1
AMS_70F25:70F25 Nonholonomic systems:AMS_70Fxx:1
AMS_70F35:70F35 Collision of rigid or pseudo-rigid bodies:AMS_70Fxx:1
AMS_70F40:70F40 Problems with friction:AMS_70Fxx:1
AMS_70F45:70F45 Infinite particle systems:AMS_70Fxx:1
AMS_70F99:70F99 None of the above, but in this section:AMS_70Fxx:1
AMS_70Gxx:70Gxx General models, approaches, and methods:AMS_70:0
AMS_70G10:70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space:AMS_70Gxx:1
AMS_70G40:70G40 Topological and differential-topological methods:AMS_70Gxx:1
AMS_70G45:70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.):AMS_70Gxx:1
AMS_70G55:70G55 Algebraic geometry methods:AMS_70Gxx:1
AMS_70G60:70G60 Dynamical systems methods:AMS_70Gxx:1
AMS_70G65:70G65 Symmetries, Lie-group and Lie-algebra methods:AMS_70Gxx:1
AMS_70G70:70G70 Functional-analytic methods:AMS_70Gxx:1
AMS_70G75:70G75 Variational methods:AMS_70Gxx:1
AMS_70G99:70G99 None of the above, but in this section:AMS_70Gxx:1
AMS_70Hxx:70Hxx Hamiltonian and Lagrangian mechanics:AMS_70:0
AMS_70H03:70H03 Lagrange's equations:AMS_70Hxx:1
AMS_70H05:70H05 Hamilton's equations:AMS_70Hxx:1
AMS_70H06:70H06 Completely integrable systems and methods of integration:AMS_70Hxx:1
AMS_70H07:70H07 Nonintegrable systems:AMS_70Hxx:1
AMS_70H08:70H08 Nearly integrable Hamiltonian systems, KAM theory:AMS_70Hxx:1
AMS_70H09:70H09 Perturbation theories:AMS_70Hxx:1
AMS_70H11:70H11 Adiabatic invariants:AMS_70Hxx:1
AMS_70H12:70H12 Periodic and almost periodic solutions:AMS_70Hxx:1
AMS_70H14:70H14 Stability problems:AMS_70Hxx:1
AMS_70H15:70H15 Canonical and symplectic transformations:AMS_70Hxx:1
AMS_70H20:70H20 Hamilton-Jacobi equations:AMS_70Hxx:1
AMS_70H25:70H25 Hamilton's principle:AMS_70Hxx:1
AMS_70H30:70H30 Other variational principles:AMS_70Hxx:1
AMS_70H33:70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction:AMS_70Hxx:1
AMS_70H40:70H40 Relativistic dynamics:AMS_70Hxx:1
AMS_70H45:70H45 Constrained dynamics, Dirac's theory of constraints:AMS_70Hxx:1
AMS_70H50:70H50 Higher-order theories:AMS_70Hxx:1
AMS_70H99:70H99 None of the above, but in this section:AMS_70Hxx:1
AMS_70Jxx:70Jxx Linear vibration theory:AMS_70:0
AMS_70J10:70J10 Modal analysis:AMS_70Jxx:1
AMS_70J25:70J25 Stability:AMS_70Jxx:1
AMS_70J30:70J30 Free motions:AMS_70Jxx:1
AMS_70J35:70J35 Forced motions:AMS_70Jxx:1
AMS_70J40:70J40 Parametric resonances:AMS_70Jxx:1
AMS_70J50:70J50 Systems arising from the discretization of structural vibration problems:AMS_70Jxx:1
AMS_70J99:70J99 None of the above, but in this section:AMS_70Jxx:1
AMS_70Kxx:70Kxx Nonlinear dynamics:AMS_70:0
AMS_70K05:70K05 Phase plane analysis, limit cycles:AMS_70Kxx:1
AMS_70K20:70K20 Stability:AMS_70Kxx:1
AMS_70K25:70K25 Free motions:AMS_70Kxx:1
AMS_70K28:70K28 Parametric resonances:AMS_70Kxx:1
AMS_70K30:70K30 Nonlinear resonances:AMS_70Kxx:1
AMS_70K40:70K40 Forced motions:AMS_70Kxx:1
AMS_70K42:70K42 Equilibria and periodic trajectories:AMS_70Kxx:1
AMS_70K43:70K43 Quasi-periodic motions and invariant tori:AMS_70Kxx:1
AMS_70K44:70K44 Homoclinic and heteroclinic trajectories:AMS_70Kxx:1
AMS_70K45:70K45 Normal forms:AMS_70Kxx:1
AMS_70K50:70K50 Bifurcations and instability:AMS_70Kxx:1
AMS_70K55:70K55 Transition to stochasticity (chaotic behavior):AMS_70Kxx:1
AMS_70K60:70K60 General perturbation schemes:AMS_70Kxx:1
AMS_70K65:70K65 Averaging of perturbations:AMS_70Kxx:1
AMS_70K70:70K70 Systems with slow and fast motions:AMS_70Kxx:1
AMS_70K75:70K75 Nonlinear modes:AMS_70Kxx:1
AMS_70K99:70K99 None of the above, but in this section:AMS_70Kxx:1
AMS_70Sxx:70Sxx Classical field theories:AMS_70:0
AMS_70S05:70S05 Lagrangian formalism and Hamiltonian formalism:AMS_70Sxx:1
AMS_70S10:70S10 Symmetries and conservation laws:AMS_70Sxx:1
AMS_70S15:70S15 Yang-Mills and other gauge theories:AMS_70Sxx:1
AMS_70S20:70S20 More general nonquantum field theories:AMS_70Sxx:1
AMS_70S99:70S99 None of the above, but in this section:AMS_70Sxx:1
AMS_74:74-XX Mechanics of deformable solids:AMS_7:0
AMS_74Axx:74Axx Generalities, axiomatics, foundations of continuum mechanics of solids:AMS_74:0
AMS_74A05:74A05 Kinematics of deformation:AMS_74Axx:1
AMS_74A10:74A10 Stress:AMS_74Axx:1
AMS_74A15:74A15 Thermodynamics:AMS_74Axx:1
AMS_74A20:74A20 Theory of constitutive functions:AMS_74Axx:1
AMS_74A25:74A25 Molecular, statistical, and kinetic theories:AMS_74Axx:1
AMS_74A30:74A30 Nonsimple materials:AMS_74Axx:1
AMS_74A35:74A35 Polar materials:AMS_74Axx:1
AMS_74A40:74A40 Random materials and composite materials:AMS_74Axx:1
AMS_74A45:74A45 Theories of fracture and damage:AMS_74Axx:1
AMS_74A50:74A50 Structured surfaces and interfaces, coexistent phases:AMS_74Axx:1
AMS_74A55:74A55 Theories of friction (tribology):AMS_74Axx:1
AMS_74A60:74A60 Micromechanical theories:AMS_74Axx:1
AMS_74A65:74A65 Reactive materials:AMS_74Axx:1
AMS_74A99:74A99 None of the above, but in this section:AMS_74Axx:1
AMS_74Bxx:74Bxx Elastic materials:AMS_74:0
AMS_74B05:74B05 Classical linear elasticity:AMS_74Bxx:1
AMS_74B10:74B10 Linear elasticity with initial stresses:AMS_74Bxx:1
AMS_74B15:74B15 Equations linearized about a deformed state (small deformations superposed on large):AMS_74Bxx:1
AMS_74B20:74B20 Nonlinear elasticity:AMS_74Bxx:1
AMS_74B99:74B99 None of the above, but in this section:AMS_74Bxx:1
AMS_74Cxx:74Cxx Plastic materials, materials of stress-rate and internal-variable type:AMS_74:0
AMS_74C05:74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials):AMS_74Cxx:1
AMS_74C10:74C10 Small-strain, rate-dependent theories (including theories of viscoplasticity):AMS_74Cxx:1
AMS_74C15:74C15 Large-strain, rate-independent theories (including nonlinear plasticity):AMS_74Cxx:1
AMS_74C20:74C20 Large-strain, rate-dependent theories:AMS_74Cxx:1
AMS_74C99:74C99 None of the above, but in this section:AMS_74Cxx:1
AMS_74Dxx:74Dxx Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials):AMS_74:0
AMS_74D05:74D05 Linear constitutive equations:AMS_74Dxx:1
AMS_74D10:74D10 Nonlinear constitutive equations:AMS_74Dxx:1
AMS_74D99:74D99 None of the above, but in this section:AMS_74Dxx:1
AMS_74Exx:74Exx Material properties given special treatment:AMS_74:0
AMS_74E05:74E05 Inhomogeneity:AMS_74Exx:1
AMS_74E10:74E10 Anisotropy:AMS_74Exx:1
AMS_74E15:74E15 Crystalline structure:AMS_74Exx:1
AMS_74E20:74E20 Granularity:AMS_74Exx:1
AMS_74E25:74E25 Texture:AMS_74Exx:1
AMS_74E30:74E30 Composite and mixture properties:AMS_74Exx:1
AMS_74E35:74E35 Random structure:AMS_74Exx:1
AMS_74E40:74E40 Chemical structure:AMS_74Exx:1
AMS_74E99:74E99 None of the above, but in this section:AMS_74Exx:1
AMS_74Fxx:74Fxx Coupling of solid mechanics with other effects:AMS_74:0
AMS_74F05:74F05 Thermal effects:AMS_74Fxx:1
AMS_74F10:74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.):AMS_74Fxx:1
AMS_74F15:74F15 Electromagnetic effects:AMS_74Fxx:1
AMS_74F20:74F20 Mixture effects:AMS_74Fxx:1
AMS_74F25:74F25 Chemical and reactive effects:AMS_74Fxx:1
AMS_74F99:74F99 None of the above, but in this section:AMS_74Fxx:1
AMS_74Gxx:74Gxx Equilibrium (steady-state) problems:AMS_74:0
AMS_74G05:74G05 Explicit solutions:AMS_74Gxx:1
AMS_74G10:74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.):AMS_74Gxx:1
AMS_74G15:74G15 Numerical approximation of solutions:AMS_74Gxx:1
AMS_74G20:74G20 Local existence of solutions (near a given solution):AMS_74Gxx:1
AMS_74G25:74G25 Global existence of solutions:AMS_74Gxx:1
AMS_74G30:74G30 Uniqueness of solutions:AMS_74Gxx:1
AMS_74G35:74G35 Multiplicity of solutions:AMS_74Gxx:1
AMS_74G40:74G40 Regularity of solutions:AMS_74Gxx:1
AMS_74G45:74G45 Bounds for solutions:AMS_74Gxx:1
AMS_74G50:74G50 Saint-Venant's principle:AMS_74Gxx:1
AMS_74G55:74G55 Qualitative behavior of solutions:AMS_74Gxx:1
AMS_74G60:74G60 Bifurcation and buckling:AMS_74Gxx:1
AMS_74G65:74G65 Energy minimization:AMS_74Gxx:1
AMS_74G70:74G70 Stress concentrations, singularities:AMS_74Gxx:1
AMS_74G75:74G75 Inverse problems:AMS_74Gxx:1
AMS_74G99:74G99 None of the above, but in this section:AMS_74Gxx:1
AMS_74Hxx:74Hxx Dynamical problems:AMS_74:0
AMS_74H05:74H05 Explicit solutions:AMS_74Hxx:1
AMS_74H10:74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.):AMS_74Hxx:1
AMS_74H15:74H15 Numerical approximation of solutions:AMS_74Hxx:1
AMS_74H20:74H20 Existence of solutions:AMS_74Hxx:1
AMS_74H25:74H25 Uniqueness of solutions:AMS_74Hxx:1
AMS_74H30:74H30 Regularity of solutions:AMS_74Hxx:1
AMS_74H35:74H35 Singularities, blowup, stress concentrations:AMS_74Hxx:1
AMS_74H40:74H40 Long-time behavior of solutions:AMS_74Hxx:1
AMS_74H45:74H45 Vibrations:AMS_74Hxx:1
AMS_74H50:74H50 Random vibrations:AMS_74Hxx:1
AMS_74H55:74H55 Stability:AMS_74Hxx:1
AMS_74H60:74H60 Dynamical bifurcation:AMS_74Hxx:1
AMS_74H65:74H65 Chaotic behavior:AMS_74Hxx:1
AMS_74H99:74H99 None of the above, but in this section:AMS_74Hxx:1
AMS_74Jxx:74Jxx Waves:AMS_74:0
AMS_74J05:74J05 Linear waves:AMS_74Jxx:1
AMS_74J10:74J10 Bulk waves:AMS_74Jxx:1
AMS_74J15:74J15 Surface waves:AMS_74Jxx:1
AMS_74J20:74J20 Wave scattering:AMS_74Jxx:1
AMS_74J25:74J25 Inverse problems:AMS_74Jxx:1
AMS_74J30:74J30 Nonlinear waves:AMS_74Jxx:1
AMS_74J35:74J35 Solitary waves:AMS_74Jxx:1
AMS_74J40:74J40 Shocks and related discontinuities:AMS_74Jxx:1
AMS_74J99:74J99 None of the above, but in this section:AMS_74Jxx:1
AMS_74Kxx:74Kxx Thin bodies, structures:AMS_74:0
AMS_74K05:74K05 Strings:AMS_74Kxx:1
AMS_74K10:74K10 Rods (beams, columns, shafts, arches, rings, etc.):AMS_74Kxx:1
AMS_74K15:74K15 Membranes:AMS_74Kxx:1
AMS_74K20:74K20 Plates:AMS_74Kxx:1
AMS_74K25:74K25 Shells:AMS_74Kxx:1
AMS_74K30:74K30 Junctions:AMS_74Kxx:1
AMS_74K35:74K35 Thin films:AMS_74Kxx:1
AMS_74K99:74K99 None of the above, but in this section:AMS_74Kxx:1
AMS_74Lxx:74Lxx Special subfields of solid mechanics:AMS_74:0
AMS_74L05:74L05 Geophysical solid mechanics:AMS_74Lxx:1
AMS_74L10:74L10 Soil and rock mechanics:AMS_74Lxx:1
AMS_74L15:74L15 Biomechanical solid mechanics:AMS_74Lxx:1
AMS_74L99:74L99 None of the above, but in this section:AMS_74Lxx:1
AMS_74Mxx:74Mxx Special kinds of problems:AMS_74:0
AMS_74M05:74M05 Control, switches and devices (``smart materials''):AMS_74Mxx:1
AMS_74M10:74M10 Friction:AMS_74Mxx:1
AMS_74M15:74M15 Contact:AMS_74Mxx:1
AMS_74M20:74M20 Impact:AMS_74Mxx:1
AMS_74M25:74M25 Micromechanics:AMS_74Mxx:1
AMS_74M99:74M99 None of the above, but in this section:AMS_74Mxx:1
AMS_74Nxx:74Nxx Phase transformations in solids:AMS_74:0
AMS_74N05:74N05 Crystals:AMS_74Nxx:1
AMS_74N10:74N10 Displacive transformations:AMS_74Nxx:1
AMS_74N15:74N15 Analysis of microstructure:AMS_74Nxx:1
AMS_74N20:74N20 Dynamics of phase boundaries:AMS_74Nxx:1
AMS_74N25:74N25 Transformations involving diffusion:AMS_74Nxx:1
AMS_74N30:74N30 Problems involving hysteresis:AMS_74Nxx:1
AMS_74N99:74N99 None of the above, but in this section:AMS_74Nxx:1
AMS_74Pxx:74Pxx Optimization:AMS_74:0
AMS_74P05:74P05 Compliance or weight optimization:AMS_74Pxx:1
AMS_74P10:74P10 Optimization of other properties:AMS_74Pxx:1
AMS_74P15:74P15 Topological methods:AMS_74Pxx:1
AMS_74P20:74P20 Geometrical methods:AMS_74Pxx:1
AMS_74P99:74P99 None of the above, but in this section:AMS_74Pxx:1
AMS_74Qxx:74Qxx Homogenization, determination of effective properties:AMS_74:0
AMS_74Q05:74Q05 Homogenization in equilibrium problems:AMS_74Qxx:1
AMS_74Q10:74Q10 Homogenization and oscillations in dynamical problems:AMS_74Qxx:1
AMS_74Q15:74Q15 Effective constitutive equations:AMS_74Qxx:1
AMS_74Q20:74Q20 Bounds on effective properties:AMS_74Qxx:1
AMS_74Q99:74Q99 None of the above, but in this section:AMS_74Qxx:1
AMS_74Rxx:74Rxx Fracture and damage:AMS_74:0
AMS_74R05:74R05 Brittle damage:AMS_74Rxx:1
AMS_74R10:74R10 Brittle fracture:AMS_74Rxx:1
AMS_74R15:74R15 High-velocity fracture:AMS_74Rxx:1
AMS_74R20:74R20 Anelastic fracture and damage:AMS_74Rxx:1
AMS_74R99:74R99 None of the above, but in this section:AMS_74Rxx:1
AMS_74Sxx:74Sxx Numerical methods:AMS_74:0
AMS_74S05:74S05 Finite element methods:AMS_74Sxx:1
AMS_74S10:74S10 Finite volume methods:AMS_74Sxx:1
AMS_74S15:74S15 Boundary element methods:AMS_74Sxx:1
AMS_74S20:74S20 Finite difference methods:AMS_74Sxx:1
AMS_74S25:74S25 Spectral and related methods:AMS_74Sxx:1
AMS_74S30:74S30 Other numerical methods:AMS_74Sxx:1
AMS_74S99:74S99 None of the above, but in this section:AMS_74Sxx:1
AMS_76:76-XX Fluid mechanics:AMS_7:0
AMS_76Axx:76Axx Foundations, constitutive equations, rheology:AMS_76:0
AMS_76A02:76A02 Foundations of fluid mechanics:AMS_76Axx:1
AMS_76A05:76A05 Non-Newtonian fluids:AMS_76Axx:1
AMS_76A10:76A10 Viscoelastic fluids:AMS_76Axx:1
AMS_76A15:76A15 Liquid crystals:AMS_76Axx:1
AMS_76A20:76A20 Thin fluid films:AMS_76Axx:1
AMS_76A25:76A25 Superfluids (classical aspects):AMS_76Axx:1
AMS_76A99:76A99 None of the above, but in this section:AMS_76Axx:1
AMS_76Bxx:76Bxx Incompressible inviscid fluids:AMS_76:0
AMS_76B03:76B03 Existence, uniqueness, and regularity theory:AMS_76Bxx:1
AMS_76B07:76B07 Free-surface potential flows:AMS_76Bxx:1
AMS_76B10:76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing:AMS_76Bxx:1
AMS_76B15:76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction:AMS_76Bxx:1
AMS_76B20:76B20 Ship waves:AMS_76Bxx:1
AMS_76B25:76B25 Solitary waves:AMS_76Bxx:1
AMS_76B45:76B45 Capillarity (surface tension):AMS_76Bxx:1
AMS_76B47:76B47 Vortex flows:AMS_76Bxx:1
AMS_76B55:76B55 Internal waves:AMS_76Bxx:1
AMS_76B60:76B60 Atmospheric waves:AMS_76Bxx:1
AMS_76B65:76B65 Rossby waves:AMS_76Bxx:1
AMS_76B70:76B70 Stratification effects in inviscid fluids:AMS_76Bxx:1
AMS_76B75:76B75 Flow control and optimization:AMS_76Bxx:1
AMS_76B99:76B99 None of the above, but in this section:AMS_76Bxx:1
AMS_76Dxx:76Dxx Incompressible viscous fluids:AMS_76:0
AMS_76D03:76D03 Existence, uniqueness, and regularity theory:AMS_76Dxx:1
AMS_76D05:76D05 Navier-Stokes equations:AMS_76Dxx:1
AMS_76D06:76D06 Statistical solutions of Navier-Stokes and related equations:AMS_76Dxx:1
AMS_76D07:76D07 Stokes and related (Oseen, etc.) flows:AMS_76Dxx:1
AMS_76D08:76D08 Lubrication theory:AMS_76Dxx:1
AMS_76D09:76D09 Viscous-inviscid interaction:AMS_76Dxx:1
AMS_76D10:76D10 Boundary-layer theory, separation and reattachment, higher-order effects:AMS_76Dxx:1
AMS_76D17:76D17 Viscous vortex flows:AMS_76Dxx:1
AMS_76D25:76D25 Wakes and jets:AMS_76Dxx:1
AMS_76D27:76D27 Other free-boundary flows; Hele-Shaw flows:AMS_76Dxx:1
AMS_76D33:76D33 Waves:AMS_76Dxx:1
AMS_76D45:76D45 Capillarity (surface tension):AMS_76Dxx:1
AMS_76D50:76D50 Stratification effects in viscous fluids:AMS_76Dxx:1
AMS_76D55:76D55 Flow control and optimization:AMS_76Dxx:1
AMS_76D99:76D99 None of the above, but in this section:AMS_76Dxx:1
AMS_76Exx:76Exx Hydrodynamic stability:AMS_76:0
AMS_76E05:76E05 Parallel shear flows:AMS_76Exx:1
AMS_76E06:76E06 Convection:AMS_76Exx:1
AMS_76E07:76E07 Rotation:AMS_76Exx:1
AMS_76E09:76E09 Stability and instability of nonparallel flows:AMS_76Exx:1
AMS_76E15:76E15 Absolute and convective instability and stability:AMS_76Exx:1
AMS_76E17:76E17 Interfacial stability and instability:AMS_76Exx:1
AMS_76E19:76E19 Compressibility effects:AMS_76Exx:1
AMS_76E20:76E20 Stability and instability of geophysical and astrophysical flows:AMS_76Exx:1
AMS_76E25:76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows:AMS_76Exx:1
AMS_76E30:76E30 Nonlinear effects:AMS_76Exx:1
AMS_76E99:76E99 None of the above, but in this section:AMS_76Exx:1
AMS_76Fxx:76Fxx Turbulence:AMS_76:0
AMS_76F02:76F02 Fundamentals:AMS_76Fxx:1
AMS_76F05:76F05 Isotropic turbulence; homogeneous turbulence:AMS_76Fxx:1
AMS_76F06:76F06 Transition to turbulence:AMS_76Fxx:1
AMS_76F10:76F10 Shear flows:AMS_76Fxx:1
AMS_76F20:76F20 Dynamical systems approach to turbulence:AMS_76Fxx:1
AMS_76F25:76F25 Turbulent transport, mixing:AMS_76Fxx:1
AMS_76F30:76F30 Renormalization and other field-theoretical methods:AMS_76Fxx:1
AMS_76F35:76F35 Convective turbulence:AMS_76Fxx:1
AMS_76F40:76F40 Turbulent boundary layers:AMS_76Fxx:1
AMS_76F45:76F45 Stratification effects:AMS_76Fxx:1
AMS_76F50:76F50 Compressibility effects:AMS_76Fxx:1
AMS_76F55:76F55 Statistical turbulence modeling:AMS_76Fxx:1
AMS_76F60:76F60 $k$-$\varepsilon$ modeling:AMS_76Fxx:1
AMS_76F65:76F65 Direct numerical and large eddy simulation of turbulence:AMS_76Fxx:1
AMS_76F70:76F70 Control of turbulent flows:AMS_76Fxx:1
AMS_76F99:76F99 None of the above, but in this section:AMS_76Fxx:1
AMS_76Mxx:76Mxx Basic methods in fluid mechanics:AMS_76:0
AMS_76M10:76M10 Finite element methods:AMS_76Mxx:1
AMS_76M12:76M12 Finite volume methods:AMS_76Mxx:1
AMS_76M15:76M15 Boundary element methods:AMS_76Mxx:1
AMS_76M20:76M20 Finite difference methods:AMS_76Mxx:1
AMS_76M22:76M22 Spectral methods:AMS_76Mxx:1
AMS_76M23:76M23 Vortex methods:AMS_76Mxx:1
AMS_76M25:76M25 Other numerical methods:AMS_76Mxx:1
AMS_76M27:76M27 Visualization algorithms:AMS_76Mxx:1
AMS_76M28:76M28 Particle methods and lattice-gas methods:AMS_76Mxx:1
AMS_76M30:76M30 Variational methods:AMS_76Mxx:1
AMS_76M35:76M35 Stochastic analysis:AMS_76Mxx:1
AMS_76M40:76M40 Complex-variables methods:AMS_76Mxx:1
AMS_76M45:76M45 Asymptotic methods, singular perturbations:AMS_76Mxx:1
AMS_76M50:76M50 Homogenization:AMS_76Mxx:1
AMS_76M55:76M55 Dimensional analysis and similarity:AMS_76Mxx:1
AMS_76M60:76M60 Symmetry analysis, Lie group and algebra methods:AMS_76Mxx:1
AMS_76M99:76M99 None of the above, but in this section:AMS_76Mxx:1
AMS_76Nxx:76Nxx Compressible fluids and gas dynamics, general:AMS_76:0
AMS_76N10:76N10 Existence, uniqueness, and regularity theory:AMS_76Nxx:1
AMS_76N15:76N15 Gas dynamics, general:AMS_76Nxx:1
AMS_76N17:76N17 Viscous-inviscid interaction:AMS_76Nxx:1
AMS_76N20:76N20 Boundary-layer theory:AMS_76Nxx:1
AMS_76N25:76N25 Flow control and optimization:AMS_76Nxx:1
AMS_76N99:76N99 None of the above, but in this section:AMS_76Nxx:1
AMS_76Rxx:76Rxx Diffusion and convection:AMS_76:0
AMS_76R05:76R05 Forced convection:AMS_76Rxx:1
AMS_76R10:76R10 Free convection:AMS_76Rxx:1
AMS_76R50:76R50 Diffusion:AMS_76Rxx:1
AMS_76R99:76R99 None of the above, but in this section:AMS_76Rxx:1
AMS_76Txx:76Txx Two-phase and multiphase flows:AMS_76:0
AMS_76T10:76T10 Liquid-gas two-phase flows, bubbly flows:AMS_76Txx:1
AMS_76T15:76T15 Dusty-gas two-phase flows:AMS_76Txx:1
AMS_76T20:76T20 Suspensions:AMS_76Txx:1
AMS_76T25:76T25 Granular flows:AMS_76Txx:1
AMS_76T30:76T30 Three or more component flows:AMS_76Txx:1
AMS_76T99:76T99 None of the above, but in this section:AMS_76Txx:1
AMS_76Zxx:76Zxx Biological fluid mechanics:AMS_76:0
AMS_76Z05:76Z05 Physiological flows:AMS_76Zxx:1
AMS_76Z10:76Z10 Biopropulsion in water and in air:AMS_76Zxx:1
AMS_76Z99:76Z99 None of the above, but in this section:AMS_76Zxx:1
AMS_78:78-XX Optics, electromagnetic theory:AMS_7:0
AMS_78Axx:78Axx General:AMS_78:0
AMS_78A02:78A02 Foundations:AMS_78Axx:1
AMS_78A05:78A05 Geometric optics:AMS_78Axx:1
AMS_78A10:78A10 Physical optics:AMS_78Axx:1
AMS_78A15:78A15 Electron optics:AMS_78Axx:1
AMS_78A20:78A20 Space charge waves:AMS_78Axx:1
AMS_78A25:78A25 Electromagnetic theory, general:AMS_78Axx:1
AMS_78A30:78A30 Electro- and magnetostatics:AMS_78Axx:1
AMS_78A35:78A35 Motion of charged particles:AMS_78Axx:1
AMS_78A40:78A40 Waves and radiation:AMS_78Axx:1
AMS_78A45:78A45 Diffraction, scattering:AMS_78Axx:1
AMS_78A46:78A46 Inverse scattering problems:AMS_78Axx:1
AMS_78A48:78A48 Composite media; random media:AMS_78Axx:1
AMS_78A50:78A50 Antennas, wave-guides:AMS_78Axx:1
AMS_78A55:78A55 Technical applications:AMS_78Axx:1
AMS_78A60:78A60 Lasers, masers, optical bistability, nonlinear optics:AMS_78Axx:1
AMS_78A70:78A70 Biological applications:AMS_78Axx:1
AMS_78A97:78A97 Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in this section):AMS_78Axx:1
AMS_78A99:78A99 Miscellaneous topics:AMS_78Axx:1
AMS_78Mxx:78Mxx Basic methods:AMS_78:0
AMS_78M05:78M05 Method of moments:AMS_78Mxx:1
AMS_78M10:78M10 Finite element methods:AMS_78Mxx:1
AMS_78M15:78M15 Boundary element methods:AMS_78Mxx:1
AMS_78M20:78M20 Finite difference methods:AMS_78Mxx:1
AMS_78M25:78M25 Other numerical methods:AMS_78Mxx:1
AMS_78M30:78M30 Variational methods:AMS_78Mxx:1
AMS_78M35:78M35 Asymptotic analysis:AMS_78Mxx:1
AMS_78M40:78M40 Homogenization:AMS_78Mxx:1
AMS_78M50:78M50 Optimization:AMS_78Mxx:1
AMS_78M99:78M99 None of the above, but in this section:AMS_78Mxx:1
AMS_80:80-XX Classical thermodynamics, heat transfer:AMS_8:0
AMS_80Axx:80Axx Thermodynamics and heat transfer:AMS_80:0
AMS_80A05:80A05 Foundations:AMS_80Axx:1
AMS_80A10:80A10 Classical thermodynamics, including relativistic:AMS_80Axx:1
AMS_80A17:80A17 Thermodynamics of continua:AMS_80Axx:1
AMS_80A20:80A20 Heat and mass transfer, heat flow:AMS_80Axx:1
AMS_80A22:80A22 Stefan problems, phase changes, etc.:AMS_80Axx:1
AMS_80A23:80A23 Inverse problems:AMS_80Axx:1
AMS_80A25:80A25 Combustion:AMS_80Axx:1
AMS_80A30:80A30 Chemical kinetics:AMS_80Axx:1
AMS_80A32:80A32 Chemically reacting flows:AMS_80Axx:1
AMS_80A50:80A50 Chemistry (general):AMS_80Axx:1
AMS_80A99:80A99 None of the above, but in this section:AMS_80Axx:1
AMS_80Mxx:80Mxx Basic methods:AMS_80:0
AMS_80M10:80M10 Finite element methods:AMS_80Mxx:1
AMS_80M15:80M15 Boundary element methods:AMS_80Mxx:1
AMS_80M20:80M20 Finite difference methods:AMS_80Mxx:1
AMS_80M25:80M25 Other numerical methods:AMS_80Mxx:1
AMS_80M30:80M30 Variational methods:AMS_80Mxx:1
AMS_80M35:80M35 Asymptotic analysis:AMS_80Mxx:1
AMS_80M40:80M40 Homogenization:AMS_80Mxx:1
AMS_80M50:80M50 Optimization:AMS_80Mxx:1
AMS_80M99:80M99 None of the above, but in this section:AMS_80Mxx:1
AMS_81:81-XX Quantum theory:AMS_8:0
AMS_81Pxx:81Pxx Axiomatics, foundations, philosophy:AMS_81:0
AMS_81P05:81P05 General and philosophical:AMS_81Pxx:1
AMS_81P10:81P10 Logical foundations of quantum mechanics; quantum logic:AMS_81Pxx:1
AMS_81P15:81P15 Quantum measurement theory:AMS_81Pxx:1
AMS_81P20:81P20 Stochastic mechanics (including stochastic electrodynamics):AMS_81Pxx:1
AMS_81P68:81P68 Quantum computation and quantum cryptography:AMS_81Pxx:1
AMS_81P99:81P99 None of the above, but in this section:AMS_81Pxx:1
AMS_81Qxx:81Qxx General mathematical topics and methods in quantum theory:AMS_81:0
AMS_81Q05:81Q05 Closed and approximate solutions to the Schr&ouml;dinger, Dirac, Klein-Gordon and other quantum-mechanical equations:AMS_81Qxx:1
AMS_81Q10:81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis:AMS_81Qxx:1
AMS_81Q15:81Q15 Perturbation theories for operators and differential equations:AMS_81Qxx:1
AMS_81Q20:81Q20 Semiclassical techniques including WKB and Maslov methods:AMS_81Qxx:1
AMS_81Q30:81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry:AMS_81Qxx:1
AMS_81Q40:81Q40 Bethe-Salpeter and other integral equations:AMS_81Qxx:1
AMS_81Q50:81Q50 Quantum chaos:AMS_81Qxx:1
AMS_81Q60:81Q60 Supersymmetric quantum mechanics:AMS_81Qxx:1
AMS_81Q70:81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.:AMS_81Qxx:1
AMS_81Q99:81Q99 None of the above, but in this section:AMS_81Qxx:1
AMS_81Rxx:81Rxx Groups and algebras in quantum theory:AMS_81:0
AMS_81R05:81R05 Finite-dimensional groups and algebras motivated by physics and their representations:AMS_81Rxx:1
AMS_81R10:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations:AMS_81Rxx:1
AMS_81R12:81R12 Relations with integrable systems:AMS_81Rxx:1
AMS_81R15:81R15 Operator algebra methods:AMS_81Rxx:1
AMS_81R20:81R20 Covariant wave equations:AMS_81Rxx:1
AMS_81R25:81R25 Spinor and twistor methods:AMS_81Rxx:1
AMS_81R30:81R30 Coherent states:AMS_81Rxx:1
AMS_81R40:81R40 Symmetry breaking:AMS_81Rxx:1
AMS_81R50:81R50 Quantum groups and related algebraic methods:AMS_81Rxx:1
AMS_81R60:81R60 Noncommutative geometry:AMS_81Rxx:1
AMS_81R99:81R99 None of the above, but in this section:AMS_81Rxx:1
AMS_81Sxx:81Sxx General quantum mechanics and problems of quantization:AMS_81:0
AMS_81S05:81S05 Commutation relations and statistics:AMS_81Sxx:1
AMS_81S10:81S10 Geometry and quantization, symplectic methods:AMS_81Sxx:1
AMS_81S20:81S20 Stochastic quantization:AMS_81Sxx:1
AMS_81S25:81S25 Quantum stochastic calculus:AMS_81Sxx:1
AMS_81S30:81S30 Phase space methods including Wigner distributions, etc.:AMS_81Sxx:1
AMS_81S40:81S40 Path integrals:AMS_81Sxx:1
AMS_81S99:81S99 None of the above, but in this section:AMS_81Sxx:1
AMS_81Txx:81Txx Quantum field theory; related classical field theories:AMS_81:0
AMS_81T05:81T05 Axiomatic quantum field theory; operator algebras:AMS_81Txx:1
AMS_81T08:81T08 Constructive quantum field theory:AMS_81Txx:1
AMS_81T10:81T10 Model quantum field theories:AMS_81Txx:1
AMS_81T13:81T13 Yang-Mills and other gauge theories:AMS_81Txx:1
AMS_81T15:81T15 Perturbative methods of renormalization:AMS_81Txx:1
AMS_81T16:81T16 Nonperturbative methods of renormalization:AMS_81Txx:1
AMS_81T17:81T17 Renormalization group methods:AMS_81Txx:1
AMS_81T18:81T18 Feynman diagrams:AMS_81Txx:1
AMS_81T20:81T20 Quantum field theory on curved space backgrounds:AMS_81Txx:1
AMS_81T25:81T25 Quantum field theory on lattices:AMS_81Txx:1
AMS_81T27:81T27 Continuum limits:AMS_81Txx:1
AMS_81T30:81T30 String and superstring theories; other extended objects (e.g., branes):AMS_81Txx:1
AMS_81T40:81T40 Two-dimensional field theories, conformal field theories, etc.:AMS_81Txx:1
AMS_81T45:81T45 Topological field theories:AMS_81Txx:1
AMS_81T50:81T50 Anomalies:AMS_81Txx:1
AMS_81T60:81T60 Supersymmetric field theories:AMS_81Txx:1
AMS_81T70:81T70 Quantization in field theory; cohomological methods:AMS_81Txx:1
AMS_81T75:81T75 Noncommutative geometry methods:AMS_81Txx:1
AMS_81T80:81T80 Simulation and numerical modeling:AMS_81Txx:1
AMS_81T99:81T99 None of the above, but in this section:AMS_81Txx:1
AMS_81Uxx:81Uxx Scattering theory:AMS_81:0
AMS_81U05:81U05 $2$-body potential scattering theory:AMS_81Uxx:1
AMS_81U10:81U10 $n$-body potential scattering theory:AMS_81Uxx:1
AMS_81U15:81U15 Exactly and quasi-solvable systems:AMS_81Uxx:1
AMS_81U20:81U20 $S$-matrix theory, etc.:AMS_81Uxx:1
AMS_81U30:81U30 Dispersion theory, dispersion relations:AMS_81Uxx:1
AMS_81U40:81U40 Inverse scattering problems:AMS_81Uxx:1
AMS_81U99:81U99 None of the above, but in this section:AMS_81Uxx:1
AMS_81Vxx:81Vxx Applications to specific physical systems:AMS_81:0
AMS_81V05:81V05 Strong interaction, including quantum chromodynamics:AMS_81Vxx:1
AMS_81V10:81V10 Electromagnetic interaction; quantum electrodynamics:AMS_81Vxx:1
AMS_81V15:81V15 Weak interaction:AMS_81Vxx:1
AMS_81V17:81V17 Gravitational interaction:AMS_81Vxx:1
AMS_81V19:81V19 Other fundamental interactions:AMS_81Vxx:1
AMS_81V22:81V22 Unified theories:AMS_81Vxx:1
AMS_81V25:81V25 Other elementary particle theory:AMS_81Vxx:1
AMS_81V35:81V35 Nuclear physics:AMS_81Vxx:1
AMS_81V45:81V45 Atomic physics:AMS_81Vxx:1
AMS_81V55:81V55 Molecular physics:AMS_81Vxx:1
AMS_81V70:81V70 Many-body theory; quantum Hall effect:AMS_81Vxx:1
AMS_81V80:81V80 Quantum optics:AMS_81Vxx:1
AMS_81V99:81V99 None of the above, but in this section:AMS_81Vxx:1
AMS_82:82-XX Statistical mechanics, structure of matter:AMS_8:0
AMS_82Bxx:82Bxx Equilibrium statistical mechanics:AMS_82:0
AMS_82B03:82B03 Foundations:AMS_82Bxx:1
AMS_82B05:82B05 Classical equilibrium statistical mechanics (general):AMS_82Bxx:1
AMS_82B10:82B10 Quantum equilibrium statistical mechanics (general):AMS_82Bxx:1
AMS_82B20:82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs:AMS_82Bxx:1
AMS_82B21:82B21 Continuum models (systems of particles, etc.):AMS_82Bxx:1
AMS_82B23:82B23 Exactly solvable models; Bethe ansatz:AMS_82Bxx:1
AMS_82B24:82B24 Interface problems; diffusion-limited aggregation:AMS_82Bxx:1
AMS_82B26:82B26 Phase transitions (general):AMS_82Bxx:1
AMS_82B27:82B27 Critical phenomena:AMS_82Bxx:1
AMS_82B28:82B28 Renormalization group methods:AMS_82Bxx:1
AMS_82B30:82B30 Statistical thermodynamics:AMS_82Bxx:1
AMS_82B31:82B31 Stochastic methods:AMS_82Bxx:1
AMS_82B35:82B35 Irreversible thermodynamics, including Onsager-Machlup theory:AMS_82Bxx:1
AMS_82B40:82B40 Kinetic theory of gases:AMS_82Bxx:1
AMS_82B41:82B41 Random walks, random surfaces, lattice animals, etc.:AMS_82Bxx:1
AMS_82B43:82B43 Percolation:AMS_82Bxx:1
AMS_82B44:82B44 Disordered systems (random Ising models, random Schr&ouml;dinger operators, etc.):AMS_82Bxx:1
AMS_82B80:82B80 Numerical methods (Monte Carlo, series resummation, etc.):AMS_82Bxx:1
AMS_82B99:82B99 None of the above, but in this section:AMS_82Bxx:1
AMS_82Cxx:82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium):AMS_82:0
AMS_82C03:82C03 Foundations:AMS_82Cxx:1
AMS_82C05:82C05 Classical dynamic and nonequilibrium statistical mechanics (general):AMS_82Cxx:1
AMS_82C10:82C10 Quantum dynamics and nonequilibrium statistical mechanics (general):AMS_82Cxx:1
AMS_82C20:82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs:AMS_82Cxx:1
AMS_82C21:82C21 Dynamic continuum models (systems of particles, etc.):AMS_82Cxx:1
AMS_82C22:82C22 Interacting particle systems:AMS_82Cxx:1
AMS_82C23:82C23 Exactly solvable dynamic models:AMS_82Cxx:1
AMS_82C24:82C24 Interface problems; diffusion-limited aggregation:AMS_82Cxx:1
AMS_82C26:82C26 Dynamic and nonequilibrium phase transitions (general):AMS_82Cxx:1
AMS_82C27:82C27 Dynamic critical phenomena:AMS_82Cxx:1
AMS_82C28:82C28 Dynamic renormalization group methods:AMS_82Cxx:1
AMS_82C31:82C31 Stochastic methods (Fokker-Planck, Langevin, etc.):AMS_82Cxx:1
AMS_82C32:82C32 Neural nets:AMS_82Cxx:1
AMS_82C35:82C35 Irreversible thermodynamics, including Onsager-Machlup theory:AMS_82Cxx:1
AMS_82C40:82C40 Kinetic theory of gases:AMS_82Cxx:1
AMS_82C41:82C41 Dynamics of random walks, random surfaces, lattice animals, etc.:AMS_82Cxx:1
AMS_82C43:82C43 Time-dependent percolation:AMS_82Cxx:1
AMS_82C44:82C44 Dynamics of disordered systems (random Ising systems, etc.):AMS_82Cxx:1
AMS_82C70:82C70 Transport processes:AMS_82Cxx:1
AMS_82C80:82C80 Numerical methods (Monte Carlo, series resummation, etc.):AMS_82Cxx:1
AMS_82C99:82C99 None of the above, but in this section:AMS_82Cxx:1
AMS_82Dxx:82Dxx Applications to specific types of physical systems:AMS_82:0
AMS_82D05:82D05 Gases:AMS_82Dxx:1
AMS_82D10:82D10 Plasmas:AMS_82Dxx:1
AMS_82D15:82D15 Liquids:AMS_82Dxx:1
AMS_82D20:82D20 Solids:AMS_82Dxx:1
AMS_82D25:82D25 Crystals:AMS_82Dxx:1
AMS_82D30:82D30 Random media, disordered materials (including liquid crystals and spin glasses):AMS_82Dxx:1
AMS_82D35:82D35 Metals:AMS_82Dxx:1
AMS_82D37:82D37 Semiconductors:AMS_82Dxx:1
AMS_82D40:82D40 Magnetic materials:AMS_82Dxx:1
AMS_82D45:82D45 Ferroelectrics:AMS_82Dxx:1
AMS_82D50:82D50 Superfluids:AMS_82Dxx:1
AMS_82D55:82D55 Superconductors:AMS_82Dxx:1
AMS_82D60:82D60 Polymers:AMS_82Dxx:1
AMS_82D75:82D75 Nuclear reactor theory; neutron transport:AMS_82Dxx:1
AMS_82D99:82D99 None of the above, but in this section:AMS_82Dxx:1
AMS_83:83-XX Relativity and gravitational theory:AMS_8:0
AMS_83Cxx:83Cxx General relativity:AMS_83:0
AMS_83C05:83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems):AMS_83Cxx:1
AMS_83C10:83C10 Equations of motion:AMS_83Cxx:1
AMS_83C15:83C15 Exact solutions:AMS_83Cxx:1
AMS_83C20:83C20 Classes of solutions; algebraically special solutions, metrics with symmetries:AMS_83Cxx:1
AMS_83C22:83C22 Einstein-Maxwell equations:AMS_83Cxx:1
AMS_83C25:83C25 Approximation procedures, weak fields:AMS_83Cxx:1
AMS_83C27:83C27 Lattice gravity, Regge calculus and other discrete methods:AMS_83Cxx:1
AMS_83C30:83C30 Asymptotic procedures (radiation, news functions,:AMS_83Cxx:1
AMS_83C35:83C35 Gravitational waves:AMS_83Cxx:1
AMS_83C40:83C40 Gravitational energy and conservation laws; groups of motions:AMS_83Cxx:1
AMS_83C45:83C45 Quantization of the gravitational field:AMS_83Cxx:1
AMS_83C47:83C47 Methods of quantum field theory:AMS_83Cxx:1
AMS_83C50:83C50 Electromagnetic fields:AMS_83Cxx:1
AMS_83C55:83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.):AMS_83Cxx:1
AMS_83C57:83C57 Black holes:AMS_83Cxx:1
AMS_83C60:83C60 Spinor and twistor methods; Newman-Penrose formalism:AMS_83Cxx:1
AMS_83C65:83C65 Methods of noncommutative geometry:AMS_83Cxx:1
AMS_83C75:83C75 Space-time singularities, cosmic censorship, etc.:AMS_83Cxx:1
AMS_83C80:83C80 Analogues in lower dimensions:AMS_83Cxx:1
AMS_83C99:83C99 None of the above, but in this section:AMS_83Cxx:1
AMS_83Exx:83Exx Unified, higher-dimensional and super field theories:AMS_83:0
AMS_83E05:83E05 Geometrodynamics:AMS_83Exx:1
AMS_83E15:83E15 Kaluza-Klein and other higher-dimensional theories:AMS_83Exx:1
AMS_83E30:83E30 String and superstring theories:AMS_83Exx:1
AMS_83E50:83E50 Supergravity:AMS_83Exx:1
AMS_83E99:83E99 None of the above, but in this section:AMS_83Exx:1
AMS_85:85-XX Astronomy and astrophysics:AMS_8:0
AMS_86:86-XX Geophysics:AMS_8:0
AMS_90:90-XX Operations research, mathematical programming:AMS_9:0
AMS_90Bxx:90Bxx Operations research and management science:AMS_90:0
AMS_90B05:90B05 Inventory, storage, reservoirs:AMS_90Bxx:1
AMS_90B06:90B06 Transportation, logistics:AMS_90Bxx:1
AMS_90B10:90B10 Network models, deterministic:AMS_90Bxx:1
AMS_90B15:90B15 Network models, stochastic:AMS_90Bxx:1
AMS_90B18:90B18 Communication networks:AMS_90Bxx:1
AMS_90B20:90B20 Traffic problems:AMS_90Bxx:1
AMS_90B22:90B22 Queues and service:AMS_90Bxx:1
AMS_90B25:90B25 Reliability, availability, maintenance, inspection:AMS_90Bxx:1
AMS_90B30:90B30 Production models:AMS_90Bxx:1
AMS_90B35:90B35 Scheduling theory, deterministic:AMS_90Bxx:1
AMS_90B36:90B36 Scheduling theory, stochastic:AMS_90Bxx:1
AMS_90B40:90B40 Search theory:AMS_90Bxx:1
AMS_90B50:90B50 Management decision making, including multiple objectives:AMS_90Bxx:1
AMS_90B60:90B60 Marketing, advertising:AMS_90Bxx:1
AMS_90B70:90B70 Theory of organizations, manpower planning:AMS_90Bxx:1
AMS_90B80:90B80 Discrete location and assignment:AMS_90Bxx:1
AMS_90B85:90B85 Continuous location:AMS_90Bxx:1
AMS_90B90:90B90 Case-oriented studies:AMS_90Bxx:1
AMS_90B99:90B99 None of the above, but in this section:AMS_90Bxx:1
AMS_90Cxx:90Cxx Mathematical programming:AMS_90:0
AMS_90C05:90C05 Linear programming:AMS_90Cxx:1
AMS_90C06:90C06 Large-scale problems:AMS_90Cxx:1
AMS_90C08:90C08 Special problems of linear programming (transportation, multi-index, etc.):AMS_90Cxx:1
AMS_90C09:90C09 Boolean programming:AMS_90Cxx:1
AMS_90C10:90C10 Integer programming:AMS_90Cxx:1
AMS_90C11:90C11 Mixed integer programming:AMS_90Cxx:1
AMS_90C15:90C15 Stochastic programming:AMS_90Cxx:1
AMS_90C20:90C20 Quadratic programming:AMS_90Cxx:1
AMS_90C22:90C22 Semidefinite programming:AMS_90Cxx:1
AMS_90C25:90C25 Convex programming:AMS_90Cxx:1
AMS_90C26:90C26 Nonconvex programming:AMS_90Cxx:1
AMS_90C27:90C27 Combinatorial optimization:AMS_90Cxx:1
AMS_90C29:90C29 Multi-objective and goal programming:AMS_90Cxx:1
AMS_90C30:90C30 Nonlinear programming:AMS_90Cxx:1
AMS_90C31:90C31 Sensitivity, stability, parametric optimization:AMS_90Cxx:1
AMS_90C32:90C32 Fractional programming:AMS_90Cxx:1
AMS_90C33:90C33 Complementarity problems:AMS_90Cxx:1
AMS_90C34:90C34 Semi-infinite programming:AMS_90Cxx:1
AMS_90C35:90C35 Programming involving graphs or networks:AMS_90Cxx:1
AMS_90C39:90C39 Dynamic programming:AMS_90Cxx:1
AMS_90C40:90C40 Markov and semi-Markov decision processes:AMS_90Cxx:1
AMS_90C46:90C46 Optimality conditions, duality:AMS_90Cxx:1
AMS_90C47:90C47 Minimax problems:AMS_90Cxx:1
AMS_90C48:90C48 Programming in abstract spaces:AMS_90Cxx:1
AMS_90C49:90C49 Extreme-point and pivoting methods:AMS_90Cxx:1
AMS_90C51:90C51 Interior-point methods:AMS_90Cxx:1
AMS_90C52:90C52 Methods of reduced gradient type:AMS_90Cxx:1
AMS_90C53:90C53 Methods of quasi-Newton type:AMS_90Cxx:1
AMS_90C55:90C55 Methods of successive quadratic programming type:AMS_90Cxx:1
AMS_90C56:90C56 Derivative-free methods:AMS_90Cxx:1
AMS_90C57:90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut:AMS_90Cxx:1
AMS_90C59:90C59 Approximation methods and heuristics:AMS_90Cxx:1
AMS_90C60:90C60 Abstract computational complexity for mathematical programming problems:AMS_90Cxx:1
AMS_90C70:90C70 Fuzzy programming:AMS_90Cxx:1
AMS_90C90:90C90 Applications of mathematical programming:AMS_90Cxx:1
AMS_90C99:90C99 None of the above, but in this section:AMS_90Cxx:1
AMS_91:91-XX Game theory, economic, social and behavioral sciences:AMS_9:0
AMS_91Axx:91Axx Game theory:AMS_91:0
AMS_91A05:91A05 2-person games:AMS_91Axx:1
AMS_91A06:91A06 $n$-person games, $n>2$:AMS_91Axx:1
AMS_91A10:91A10 Noncooperative games:AMS_91Axx:1
AMS_91A12:91A12 Cooperative games:AMS_91Axx:1
AMS_91A13:91A13 Games with infinitely many players:AMS_91Axx:1
AMS_91A15:91A15 Stochastic games:AMS_91Axx:1
AMS_91A18:91A18 Games in extensive form:AMS_91Axx:1
AMS_91A20:91A20 Multistage and repeated games:AMS_91Axx:1
AMS_91A22:91A22 Evolutionary games:AMS_91Axx:1
AMS_91A23:91A23 Differential games:AMS_91Axx:1
AMS_91A24:91A24 Positional games (pursuit and evasion, etc.):AMS_91Axx:1
AMS_91A25:91A25 Dynamic games:AMS_91Axx:1
AMS_91A26:91A26 Rationality, learning:AMS_91Axx:1
AMS_91A28:91A28 Signaling, communication:AMS_91Axx:1
AMS_91A30:91A30 Utility theory for games:AMS_91Axx:1
AMS_91A35:91A35 Decision theory for games:AMS_91Axx:1
AMS_91A40:91A40 Game-theoretic models:AMS_91Axx:1
AMS_91A43:91A43 Games involving graphs:AMS_91Axx:1
AMS_91A44:91A44 Games involving topology or set theory:AMS_91Axx:1
AMS_91A46:91A46 Combinatorial games:AMS_91Axx:1
AMS_91A50:91A50 Discrete-time games:AMS_91Axx:1
AMS_91A55:91A55 Games of timing:AMS_91Axx:1
AMS_91A60:91A60 Probabilistic games; gambling:AMS_91Axx:1
AMS_91A65:91A65 Hierarchical games:AMS_91Axx:1
AMS_91A70:91A70 Spaces of games:AMS_91Axx:1
AMS_91A80:91A80 Applications of game theory:AMS_91Axx:1
AMS_91A90:91A90 Experimental studies:AMS_91Axx:1
AMS_91A99:91A99 None of the above, but in this section:AMS_91Axx:1
AMS_91Bxx:91Bxx Mathematical economics:AMS_91:0
AMS_91B02:91B02 Fundamental topics (basic mathematics, methodology; applicable to economics in general):AMS_91Bxx:1
AMS_91B06:91B06 Decision theory:AMS_91Bxx:1
AMS_91B08:91B08 Individual preferences:AMS_91Bxx:1
AMS_91B10:91B10 Group preferences:AMS_91Bxx:1
AMS_91B12:91B12 Voting theory:AMS_91Bxx:1
AMS_91B14:91B14 Social choice:AMS_91Bxx:1
AMS_91B16:91B16 Utility theory:AMS_91Bxx:1
AMS_91B18:91B18 Public goods:AMS_91Bxx:1
AMS_91B24:91B24 Price theory and market structure:AMS_91Bxx:1
AMS_91B26:91B26 Market models (auctions, bargaining, bidding, selling, etc.):AMS_91Bxx:1
AMS_91B28:91B28 Finance, portfolios, investment:AMS_91Bxx:1
AMS_91B30:91B30 Risk theory, insurance:AMS_91Bxx:1
AMS_91B32:91B32 Resource and cost allocation:AMS_91Bxx:1
AMS_91B38:91B38 Production theory, theory of the firm:AMS_91Bxx:1
AMS_91B40:91B40 Labor market, contracts:AMS_91Bxx:1
AMS_91B42:91B42 Consumer behavior, demand theory:AMS_91Bxx:1
AMS_91B44:91B44 Informational economics:AMS_91Bxx:1
AMS_91B50:91B50 Equilibrium: general theory:AMS_91Bxx:1
AMS_91B52:91B52 Special types of equilibria:AMS_91Bxx:1
AMS_91B54:91B54 Special types of economies:AMS_91Bxx:1
AMS_91B60:91B60 General economic models, trade models:AMS_91Bxx:1
AMS_91B62:91B62 Dynamic economic models, growth models:AMS_91Bxx:1
AMS_91B64:91B64 Macro-economic models (monetary models, models of taxation):AMS_91Bxx:1
AMS_91B66:91B66 Multisectoral models:AMS_91Bxx:1
AMS_91B68:91B68 Matching models:AMS_91Bxx:1
AMS_91B70:91B70 Stochastic models:AMS_91Bxx:1
AMS_91B72:91B72 Spatial models:AMS_91Bxx:1
AMS_91B74:91B74 Models of real-world systems:AMS_91Bxx:1
AMS_91B76:91B76 Environmental economics (natural resource models, harvesting, pollution, etc.):AMS_91Bxx:1
AMS_91B82:91B82 Statistical methods; economic indices and measures:AMS_91Bxx:1
AMS_91B84:91B84 Economic time series analysis:AMS_91Bxx:1
AMS_91B99:91B99 None of the above, but in this section:AMS_91Bxx:1
AMS_91Cxx:91Cxx Social and behavioral sciences: methodology:AMS_91:0
AMS_91C05:91C05 Measurement theory:AMS_91Cxx:1
AMS_91C15:91C15 One- and multidimensional scaling:AMS_91Cxx:1
AMS_91C20:91C20 Clustering:AMS_91Cxx:1
AMS_91C99:91C99 None of the above, but in this section:AMS_91Cxx:1
AMS_91Dxx:91Dxx Mathematical sociology (including anthropology):AMS_91:0
AMS_91D10:91D10 Models of societies, social and urban evolution:AMS_91Dxx:1
AMS_91D20:91D20 Mathematical geography and demography:AMS_91Dxx:1
AMS_91D25:91D25 Spatial models:AMS_91Dxx:1
AMS_91D30:91D30 Social networks:AMS_91Dxx:1
AMS_91D35:91D35 Manpower systems:AMS_91Dxx:1
AMS_91D99:91D99 None of the above, but in this section:AMS_91Dxx:1
AMS_91Exx:91Exx Mathematical psychology:AMS_91:0
AMS_91E10:91E10 Cognitive psychology:AMS_91Exx:1
AMS_91E30:91E30 Psychophysics and psychophysiology; perception:AMS_91Exx:1
AMS_91E40:91E40 Memory and learning:AMS_91Exx:1
AMS_91E45:91E45 Measurement and performance:AMS_91Exx:1
AMS_91E99:91E99 None of the above, but in this section:AMS_91Exx:1
AMS_91Fxx:91Fxx Other social and behavioral sciences (mathematical treatment):AMS_91:0
AMS_91F10:91F10 History, political science:AMS_91Fxx:1
AMS_91F20:91F20 Linguistics:AMS_91Fxx:1
AMS_91F99:91F99 None of the above, but in this section:AMS_91Fxx:1
AMS_92:92-XX Biology and other natural sciences:AMS_9:0
AMS_92Bxx:92Bxx Mathematical biology in general:AMS_92:0
AMS_92B05:92B05 General biology and biomathematics:AMS_92Bxx:1
AMS_92B10:92B10 Taxonomy, statistics:AMS_92Bxx:1
AMS_92B15:92B15 General biostatistics:AMS_92Bxx:1
AMS_92B20:92B20 Neural networks, artificial life and related topics:AMS_92Bxx:1
AMS_92B99:92B99 None of the above, but in this section:AMS_92Bxx:1
AMS_92Cxx:92Cxx Physiological, cellular and medical topics:AMS_92:0
AMS_92C05:92C05 Biophysics:AMS_92Cxx:1
AMS_92C10:92C10 Biomechanics:AMS_92Cxx:1
AMS_92C15:92C15 Developmental biology, pattern formation:AMS_92Cxx:1
AMS_92C17:92C17 Cell movement (chemotaxis, etc.):AMS_92Cxx:1
AMS_92C20:92C20 Neural biology:AMS_92Cxx:1
AMS_92C30:92C30 Physiology (general):AMS_92Cxx:1
AMS_92C35:92C35 Physiological flow:AMS_92Cxx:1
AMS_92C37:92C37 Cell biology:AMS_92Cxx:1
AMS_92C40:92C40 Biochemistry, molecular biology:AMS_92Cxx:1
AMS_92C45:92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.):AMS_92Cxx:1
AMS_92C50:92C50 Medical applications (general):AMS_92Cxx:1
AMS_92C55:92C55 Biomedical imaging and signal processing:AMS_92Cxx:1
AMS_92C60:92C60 Medical epidemiology:AMS_92Cxx:1
AMS_92C80:92C80 Plant biology:AMS_92Cxx:1
AMS_92C99:92C99 None of the above, but in this section:AMS_92Cxx:1
AMS_92Dxx:92Dxx Genetics and population dynamics:AMS_92:0
AMS_92D10:92D10 Genetics:AMS_92Dxx:1
AMS_92D15:92D15 Problems related to evolution:AMS_92Dxx:1
AMS_92D20:92D20 Protein sequences, DNA sequences:AMS_92Dxx:1
AMS_92D25:92D25 Population dynamics (general):AMS_92Dxx:1
AMS_92D30:92D30 Epidemiology:AMS_92Dxx:1
AMS_92D40:92D40 Ecology:AMS_92Dxx:1
AMS_92D50:92D50 Animal behavior:AMS_92Dxx:1
AMS_92D99:92D99 None of the above, but in this section:AMS_92Dxx:1
AMS_92Exx:92Exx Chemistry:AMS_92:0
AMS_92E10:92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.):AMS_92Exx:1
AMS_92E20:92E20 Classical flows, reactions, etc.:AMS_92Exx:1
AMS_92E99:92E99 None of the above, but in this section:AMS_92Exx:1
AMS_93:93-XX Systems theory; control:AMS_9:0
AMS_93Axx:93Axx General:AMS_93:0
AMS_93A05:93A05 Axiomatic system theory:AMS_93Axx:1
AMS_93A10:93A10 General systems:AMS_93Axx:1
AMS_93A13:93A13 Hierarchical systems:AMS_93Axx:1
AMS_93A14:93A14 Decentralized systems:AMS_93Axx:1
AMS_93A15:93A15 Large scale systems:AMS_93Axx:1
AMS_93A30:93A30 Mathematical modeling (models of systems, model-matching, etc.):AMS_93Axx:1
AMS_93A99:93A99 None of the above, but in this section:AMS_93Axx:1
AMS_93Bxx:93Bxx Controllability, observability, and system structure:AMS_93:0
AMS_93B03:93B03 Attainable sets:AMS_93Bxx:1
AMS_93B05:93B05 Controllability:AMS_93Bxx:1
AMS_93B07:93B07 Observability:AMS_93Bxx:1
AMS_93B10:93B10 Canonical structure:AMS_93Bxx:1
AMS_93B11:93B11 System structure simplification:AMS_93Bxx:1
AMS_93B12:93B12 Variable structure systems:AMS_93Bxx:1
AMS_93B15:93B15 Realizations from input-output data:AMS_93Bxx:1
AMS_93B17:93B17 Transformations:AMS_93Bxx:1
AMS_93B18:93B18 Linearizations:AMS_93Bxx:1
AMS_93B20:93B20 Minimal systems representations:AMS_93Bxx:1
AMS_93B25:93B25 Algebraic methods:AMS_93Bxx:1
AMS_93B27:93B27 Geometric methods (including algebro-geometric):AMS_93Bxx:1
AMS_93B28:93B28 Operator-theoretic methods:AMS_93Bxx:1
AMS_93B29:93B29 Differential-geometric methods:AMS_93Bxx:1
AMS_93B30:93B30 System identification:AMS_93Bxx:1
AMS_93B35:93B35 Sensitivity (robustness):AMS_93Bxx:1
AMS_93B36:93B36 $:AMS_93Bxx:1
AMS_93B40:93B40 Computational methods:AMS_93Bxx:1
AMS_93B50:93B50 Synthesis problems:AMS_93Bxx:1
AMS_93B51:93B51 Design techniques (robust design, computer-aided design, etc.):AMS_93Bxx:1
AMS_93B52:93B52 Feedback control:AMS_93Bxx:1
AMS_93B55:93B55 Pole and zero placement problems:AMS_93Bxx:1
AMS_93B60:93B60 Eigenvalue problems:AMS_93Bxx:1
AMS_93B99:93B99 None of the above, but in this section:AMS_93Bxx:1
AMS_93Cxx:93Cxx Control systems, guided systems:AMS_93:0
AMS_93C05:93C05 Linear systems:AMS_93Cxx:1
AMS_93C10:93C10 Nonlinear systems:AMS_93Cxx:1
AMS_93C15:93C15 Systems governed by ordinary differential equations:AMS_93Cxx:1
AMS_93C20:93C20 Systems governed by partial differential equations:AMS_93Cxx:1
AMS_93C23:93C23 Systems governed by functional-differential equations:AMS_93Cxx:1
AMS_93C25:93C25 Systems in abstract spaces:AMS_93Cxx:1
AMS_93C30:93C30 Systems governed by functional relations other than differential equations:AMS_93Cxx:1
AMS_93C35:93C35 Multivariable systems:AMS_93Cxx:1
AMS_93C40:93C40 Adaptive control:AMS_93Cxx:1
AMS_93C41:93C41 Problems with incomplete information:AMS_93Cxx:1
AMS_93C42:93C42 Fuzzy control:AMS_93Cxx:1
AMS_93C55:93C55 Discrete-time systems:AMS_93Cxx:1
AMS_93C57:93C57 Sampled-data  systems:AMS_93Cxx:1
AMS_93C62:93C62 Digital systems:AMS_93Cxx:1
AMS_93C65:93C65 Discrete event systems:AMS_93Cxx:1
AMS_93C70:93C70 Time-scale analysis and singular perturbations:AMS_93Cxx:1
AMS_93C73:93C73 Perturbations:AMS_93Cxx:1
AMS_93C80:93C80 Frequency-response methods:AMS_93Cxx:1
AMS_93C83:93C83 Control problems involving computers (process control, etc.):AMS_93Cxx:1
AMS_93C85:93C85 Automated systems (robots, etc.):AMS_93Cxx:1
AMS_93C95:93C95 Applications:AMS_93Cxx:1
AMS_93C99:93C99 None of the above, but in this section:AMS_93Cxx:1
AMS_93Dxx:93Dxx Stability:AMS_93:0
AMS_93D05:93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $L^p, l^p$, etc.):AMS_93Dxx:1
AMS_93D09:93D09 Robust stability:AMS_93Dxx:1
AMS_93D10:93D10 Popov-type stability of feedback systems:AMS_93Dxx:1
AMS_93D15:93D15 Stabilization of systems by feedback:AMS_93Dxx:1
AMS_93D20:93D20 Asymptotic stability:AMS_93Dxx:1
AMS_93D21:93D21 Adaptive or robust stabilization:AMS_93Dxx:1
AMS_93D25:93D25 Input-output approaches:AMS_93Dxx:1
AMS_93D30:93D30 Scalar and vector Lyapunov functions:AMS_93Dxx:1
AMS_93D99:93D99 None of the above, but in this section:AMS_93Dxx:1
AMS_93Exx:93Exx Stochastic systems and control:AMS_93:0
AMS_93E03:93E03 Stochastic systems, general:AMS_93Exx:1
AMS_93E10:93E10 Estimation and detection:AMS_93Exx:1
AMS_93E11:93E11 Filtering:AMS_93Exx:1
AMS_93E12:93E12 System identification:AMS_93Exx:1
AMS_93E14:93E14 Data smoothing:AMS_93Exx:1
AMS_93E15:93E15 Stochastic stability:AMS_93Exx:1
AMS_93E20:93E20 Optimal stochastic control:AMS_93Exx:1
AMS_93E24:93E24 Least squares and related methods:AMS_93Exx:1
AMS_93E25:93E25 Other computational methods:AMS_93Exx:1
AMS_93E35:93E35 Stochastic learning and adaptive control:AMS_93Exx:1
AMS_93E99:93E99 None of the above, but in this section:AMS_93Exx:1
AMS_94:94-XX Information and communication, circuits:AMS_9:0
AMS_94Axx:94Axx Communication, information:AMS_94:0
AMS_94A05:94A05 Communication theory:AMS_94Axx:1
AMS_94A08:94A08 Image processing (compression, reconstruction, etc.):AMS_94Axx:1
AMS_94A11:94A11 Application of orthogonal functions in communication:AMS_94Axx:1
AMS_94A12:94A12 Signal theory (characterization, reconstruction, etc.):AMS_94Axx:1
AMS_94A13:94A13 Detection theory:AMS_94Axx:1
AMS_94A14:94A14 Modulation and demodulation:AMS_94Axx:1
AMS_94A15:94A15 Information theory, general:AMS_94Axx:1
AMS_94A17:94A17 Measures of information, entropy:AMS_94Axx:1
AMS_94A20:94A20 Sampling theory:AMS_94Axx:1
AMS_94A24:94A24 Coding theorems (Shannon theory):AMS_94Axx:1
AMS_94A29:94A29 Source coding:AMS_94Axx:1
AMS_94A34:94A34 Rate-distortion theory:AMS_94Axx:1
AMS_94A40:94A40 Channel models:AMS_94Axx:1
AMS_94A45:94A45 Prefix, length-variable, comma-free codes:AMS_94Axx:1
AMS_94A50:94A50 Theory of questionnaires:AMS_94Axx:1
AMS_94A55:94A55 Shift register sequences and sequences over finite alphabets:AMS_94Axx:1
AMS_94A60:94A60 Cryptography:AMS_94Axx:1
AMS_94A62:94A62 Authentication and secret sharing:AMS_94Axx:1
AMS_94A99:94A99 None of the above, but in this section:AMS_94Axx:1
AMS_94Bxx:94Bxx Theory of error-correcting codes and error-detecting codes:AMS_94:0
AMS_94B05:94B05 Linear codes, general:AMS_94Bxx:1
AMS_94B10:94B10 Convolutional codes:AMS_94Bxx:1
AMS_94B12:94B12 Combined modulation schemes (including trellis codes):AMS_94Bxx:1
AMS_94B15:94B15 Cyclic codes:AMS_94Bxx:1
AMS_94B20:94B20 Burst-correcting codes:AMS_94Bxx:1
AMS_94B25:94B25 Combinatorial codes:AMS_94Bxx:1
AMS_94B27:94B27 Geometric methods (including applications of algebraic geometry):AMS_94Bxx:1
AMS_94B30:94B30 Majority codes:AMS_94Bxx:1
AMS_94B35:94B35 Decoding:AMS_94Bxx:1
AMS_94B40:94B40 Arithmetic codes:AMS_94Bxx:1
AMS_94B50:94B50 Synchronization error-correcting codes:AMS_94Bxx:1
AMS_94B60:94B60 Other types of codes:AMS_94Bxx:1
AMS_94B65:94B65 Bounds on codes:AMS_94Bxx:1
AMS_94B70:94B70 Error probability:AMS_94Bxx:1
AMS_94B75:94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.):AMS_94Bxx:1
AMS_94B99:94B99 None of the above, but in this section:AMS_94Bxx:1
AMS_94Cxx:94Cxx Circuits, networks:AMS_94:0
AMS_94C05:94C05 Analytic circuit theory:AMS_94Cxx:1
AMS_94C10:94C10 Switching theory, application of Boolean algebra; Boolean functions:AMS_94Cxx:1
AMS_94C12:94C12 Fault detection; testing:AMS_94Cxx:1
AMS_94C15:94C15 Applications of graph theory:AMS_94Cxx:1
AMS_94C30:94C30 Applications of design theory:AMS_94Cxx:1
AMS_94C99:94C99 None of the above, but in this section:AMS_94Cxx:1
AMS_97:97-XX Mathematics education:AMS_9:0
AMS_97Axx:97Axx General:AMS_97:0
AMS_97A20:97A20 Recreational mathematics:AMS_97Axx:1
AMS_97A40:97A40 Sociological issues:AMS_97Axx:1
AMS_97A80:97A80 Standards:AMS_97Axx:1
AMS_97A90:97A90 Fiction and games:AMS_97Axx:1
AMS_97Bxx:97Bxx Educational policy and educational systems:AMS_97:0
AMS_97B10:97B10 Educational research and planning:AMS_97Bxx:1
AMS_97B20:97B20 General education:AMS_97Bxx:1
AMS_97B30:97B30 Vocational education:AMS_97Bxx:1
AMS_97B40:97B40 Higher education:AMS_97Bxx:1
AMS_97B50:97B50 Teacher education:AMS_97Bxx:1
AMS_97B60:97B60 Out-of-school education. Adult and further education:AMS_97Bxx:1
AMS_97B70:97B70 Syllabuses. Curriculum guides, official documents:AMS_97Bxx:1
AMS_97B99:97B99 None of the above, but in this section:AMS_97Bxx:1
AMS_97Cxx:97Cxx Psychology of and research in mathematics education:AMS_97:0
AMS_97C20:97C20 Affective aspects (motivation, anxiety, persistence, etc.):AMS_97Cxx:1
AMS_97C30:97C30 Student learning and thinking (misconceptions, cognitive development, problem solving, etc.):AMS_97Cxx:1
AMS_97C40:97C40 Assessment (large scale assessment, validity, reliability, etc.):AMS_97Cxx:1
AMS_97C50:97C50 Theoretical perspectives (learning theories, epistemology, philosophies of teaching and learning, etc.):AMS_97Cxx:1
AMS_97C60:97C60 Sociological aspects of learning (culture, group interactions, equity issues, etc.):AMS_97Cxx:1
AMS_97C70:97C70 Teachers, and research on teacher education (teacher development, etc.):AMS_97Cxx:1
AMS_97C80:97C80 Technological tools and other materials in teaching and learning (research on innovations, role in student learning, use of tools by teachers, etc.):AMS_97Cxx:1
AMS_97C90:97C90 Teaching and curriculum (innovations, teaching practices, studies of curriculum materials, effective teaching, etc. ):AMS_97Cxx:1
AMS_97C99:97C99 None of the above, but in this section:AMS_97Cxx:1
AMS_97Dxx:97Dxx Education and instruction in mathematics:AMS_97:0
AMS_97D10:97D10 Comparative studies on mathematics education:AMS_97Dxx:1
AMS_97D20:97D20 Philosophical and theoretical contributions to mathematical education:AMS_97Dxx:1
AMS_97D30:97D30 Goals of mathematics teaching. Curriculum development:AMS_97Dxx:1
AMS_97D40:97D40 Teaching methods and classroom techniques. Lesson preparation. Educational principles:AMS_97Dxx:1
AMS_97D50:97D50 Teaching problem solving and heuristic strategies:AMS_97Dxx:1
AMS_97D60:97D60 Achievement control and rating:AMS_97Dxx:1
AMS_97D70:97D70 Diagnosis, analysis and remediation of learning difficulties and student errors:AMS_97Dxx:1
AMS_97D80:97D80 Teaching units, draft lessons and master lessons:AMS_97Dxx:1
AMS_97D99:97D99 None of the above, but in this section:AMS_97Dxx:1
AMS_97Uxx:97Uxx Educational material and media. Educational technology:AMS_97:0
AMS_97U20:97U20 Analysis of textbooks, development and evaluation of textbooks. Textbook use in the classroom:AMS_97Uxx:1
AMS_97U30:97U30 Teacher manuals and planning aids:AMS_97Uxx:1
AMS_97U40:97U40 Problem books; student competitions, examination questions:AMS_97Uxx:1
AMS_97U50:97U50 Computer assisted instruction and programmed instruction:AMS_97Uxx:1
AMS_97U60:97U60 Manipulative materials and their use in the classroom:AMS_97Uxx:1
AMS_97U70:97U70 Technological tools (computers, calculators, software, etc.) and their use in the classroom:AMS_97Uxx:1
AMS_97U80:97U80 Audiovisual media and their use in instruction:AMS_97Uxx:1
AMS_97U99:97U99 None of the above, but in this section:AMS_97Uxx:1