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18Axx - General theory of categories and functors

18A05 - Definitions, generalizations
18A10 - Graphs, diagram schemes, precategories
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 - Miscellaneous
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