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< | 18-XX | 18Bxx >
18-XX Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology}
18Axx General theory of categories and functors
18A05   Definitions, generalizations
18A10   Graphs, diagram schemes, precategories [See especially 20L05]
18A15   Foundations, relations to logic and deductive systems [See also 03-XX]
18A20   Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
18A22   Special properties of functors (faithful, full, etc.)
18A23   Natural morphisms, dinatural morphisms
18A25   Functor categories, comma categories
18A30   Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
18A32   Factorization of morphisms, substructures, quotient structures, congruences, amalgams
18A35   Categories admitting limits (complete categories), functors preserving limits, completions
18A40   Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18A99   None of the above, but in this section
< | 18-XX | 18Bxx >
American Mathematical Society
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