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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.


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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} → ZMATH
18Axx General theory of categories and functors → ZMATH
18A05 Definitions, generalizations → ZMATH
18A10 Graphs, diagram schemes, precategories [See especially 20L05] → ZMATH
18A15 Foundations, relations to logic and deductive systems [See also 03-XX] → ZMATH
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms → ZMATH
18A22 Special properties of functors (faithful, full, etc.) → ZMATH
18A23 Natural morphisms, dinatural morphisms → ZMATH
18A25 Functor categories, comma categories → ZMATH
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) → ZMATH
18A32 Factorization of morphisms, substructures, quotient structures, congruences, amalgams → ZMATH
18A35 Categories admitting limits (complete categories), functors preserving limits, completions → ZMATH
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) → ZMATH
18A99 None of the above, but in this section → ZMATH
 
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MSC2010


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