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  • 18-XX Category theory; homological algebra
  • 18Axx General theory of categories and functors
  • 18A32 Factorization of morphisms, substructures, quotient structures, congruences, amalgams

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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Several constructions for factorization systems.

Zangurashvili, Dali (2004)

Theory and Applications of Categories [electronic only]

Small-fibred semitopological functors without small-fibred initial completions

Jan Reiterman (1979)

Commentationes Mathematicae Universitatis Carolinae

Sur les genres d'esquissabilité des catégories modelables (accessibles) possédant les limites d'indexations finies (resp. finies et non vides, finies et connexes, finies et connexes et non vides)

C. Lair (1996)

Diagrammes

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