18-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)

• 18-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 18-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 18-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 18-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 18-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 18-XX Category theory; homological algebra ( 0 Dok.)
• 18A05 Definitions, generalizations ( 0 Dok.)
• 18A10 Graphs, diagram schemes, precategories ( 0 Dok.)
• 18A15 Foundations, relations to logic and deductive systems ( 0 Dok.)
• 18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms ( 0 Dok.)
• 18A22 Special properties of functors (faithful, full, etc.) ( 0 Dok.)
• 18A23 Natural morphisms, dinatural morphisms ( 0 Dok.)
• 18A25 Functor categories, comma categories ( 0 Dok.)
• 18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) ( 0 Dok.)
• 18A32 Factorization of morphisms, substructures, quotient structures, congruences, amalgams ( 0 Dok.)
• 18A35 Categories admitting limits (complete categories), functors preserving limits, completions ( 0 Dok.)
• 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) ( 0 Dok.)
• 18A99 None of the above, but in this section ( 0 Dok.)
• 18Axx General theory of categories and functors ( 0 Dok. )
• 18B05 Category of sets, characterizations ( 0 Dok.)
• 18B10 Category of relations, additive relations ( 0 Dok.)
• 18B15 Embedding theorems, universal categories ( 0 Dok.)
• 18B20 Categories of machines, automata, operative categories ( 0 Dok.)
• 18B25 Topoi ( 0 Dok.)
• 18B30 Categories of topological spaces and continuous mappings ( 0 Dok.)
• 18B35 Preorders, orders and lattices (viewed as categories) ( 0 Dok.)
• 18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories) ( 0 Dok.)
• 18B99 None of the above, but in this section ( 0 Dok.)
• 18Bxx Special categories ( 0 Dok. )
• 18C05 Equational categories ( 0 Dok.)
• 18C10 Theories (e.g. algebraic theories), structure, and semantics ( 0 Dok.)
• 18C15 Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples ( 0 Dok.)
• 18C20 Algebras and Kleisli categories associated with monads ( 0 Dok.)
• 18C30 Sketches and generalizations ( 0 Dok.)
• 18C35 Accessible and locally presentable categories ( 0 Dok.)
• 18C50 Categorical semantics of formal languages ( 0 Dok.)
• 18C99 None of the above, but in this section ( 0 Dok.)
• 18Cxx Categories and theories ( 0 Dok. )
• 18D05 Double categories, 2-categories, bicategories and generalizations ( 0 Dok.)
• 18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories ( 0 Dok.)
• 18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.) ( 0 Dok.)
• 18D20 Enriched categories (over closed or monoidal categories) ( 0 Dok.)
• 18D25 Strong functors, strong adjunctions ( 0 Dok.)
• 18D30 Fibered categories ( 0 Dok.)
• 18D35 Structured objects in a category (group objects, etc.) ( 0 Dok.)
• 18D50 Operads ( 0 Dok.)
• 18D99 None of the above, but in this section ( 0 Dok.)
• 18Dxx Categories with structure ( 0 Dok. )
• 18E05 Preadditive, additive categories ( 0 Dok.)
• 18E10 Exact categories, abelian categories ( 0 Dok.)
• 18E15 Grothendieck categories ( 0 Dok.)
• 18E20 Embedding theorems ( 0 Dok.)
• 18E25 Derived functors and satellites ( 0 Dok.)
• 18E30 Derived categories, triangulated categories ( 0 Dok.)
• 18E35 Localization of categories ( 0 Dok.)
• 18E40 Torsion theories, radicals ( 0 Dok.)
• 18E99 None of the above, but in this section ( 0 Dok.)
• 18Exx Abelian categories ( 0 Dok. )
• 18F05 Local categories and functors ( 0 Dok.)
• 18F10 Grothendieck topologies ( 0 Dok.)
• 18F15 Abstract manifolds and fiber bundles ( 0 Dok.)
• 18F20 Presheaves and sheaves ( 0 Dok.)
• 18F25 Algebraic K-theory and L-theory ( 0 Dok.)
• 18F30 Grothendieck groups ( 0 Dok.)
• 18F99 None of the above, but in this section ( 0 Dok.)
• 18Fxx Categories and geometry ( 0 Dok. )
• 18G05 Projectives and injectives ( 0 Dok.)
• 18G10 Resolutions; derived functors ( 0 Dok.)
• 18G15 Ext and Tor, generalizations, Künneth formula ( 0 Dok.)
• 18G20 Homological dimension ( 0 Dok.)
• 18G25 Relative homological algebra, projective classes ( 0 Dok.)
• 18G30 Simplicial sets, simplicial objects (in a category) ( 0 Dok.)
• 18G35 Chain complexes ( 0 Dok.)
• 18G40 Spectral sequences, hypercohomology ( 0 Dok.)
• 18G50 Nonabelian homological algebra ( 0 Dok.)
• 18G55 Homotopical algebra ( 0 Dok.)
• 18G60 Other (co)homology theories ( 0 Dok.)
• 18G99 None of the above, but in this section ( 0 Dok.)
• 18GxxHomol algebra ( 0 Dok. )

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Letzte Änderung: 14.07.10