About: General theory of categories and functors

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Category theory; homological algebra
narrower concept	Definitions, generalizations Graphs, diagram schemes, precategories Foundations, relations to logic and deductive systems Epimorphisms, monomorphisms, special classes of morphisms, null morphisms Special properties of functors (faithful, full, etc.) Natural morphisms, dinatural morphisms Functor categories, comma categories Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) Factorization of morphisms, substructures, quotient structures, congruences, amalgams Categories admitting limits (complete categories), functors preserving limits, completions Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) None of the above, but in MSC2010 section 18Axx
skos:prefLabel	General theory of categories and functors Teoria generale delle categorie e dei funtori 范畴与函子的一般理论
skos:exactMatch	http://msc2010.org/resources/MSC/1991/18Axx http://msc2010.org/resources/MSC/2000/18Axx
skos:notation	18Axx
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.55
is broader concept of	Definitions, generalizations Graphs, diagram schemes, precategories Foundations, relations to logic and deductive systems Epimorphisms, monomorphisms, special classes of morphisms, null morphisms Special properties of functors (faithful, full, etc.) Natural morphisms, dinatural morphisms Functor categories, comma categories Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) Factorization of morphisms, substructures, quotient structures, congruences, amalgams Categories admitting limits (complete categories), functors preserving limits, completions Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) None of the above, but in MSC2010 section 18Axx
is narrower concept of	Category theory; homological algebra

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