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  • 18-XX Category theory; homological algebra
  • 18Axx General theory of categories and functors
  • 18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms

18Axx General theory of categories and functors

  • 18A05 Definitions, generalizations
  • 18A10 Graphs, diagram schemes, precategories [See especially ]
  • 18A15 Foundations, relations to logic and deductive systems
  • 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
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