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This is a glossary of properties and concepts in category theory in mathematics. (see also Outline of category theory.) * Notes on foundations: In many expositions (e.g., Vistoli), the set-theoretic issues are ignored; this means, for instance, that one does not distinguish between small and large categories and that one can arbitrarily form a localization of a category. Like those expositions, this glossary also generally ignores the set-theoretic issues, except when they are relevant (e.g., the discussion on accessibility.) The notations and the conventions used throughout the article are:

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rdfs:label	Glossary of category theory (en)
rdfs:comment	This is a glossary of properties and concepts in category theory in mathematics. (see also Outline of category theory.) * Notes on foundations: In many expositions (e.g., Vistoli), the set-theoretic issues are ignored; this means, for instance, that one does not distinguish between small and large categories and that one can arbitrarily form a localization of a category. Like those expositions, this glossary also generally ignores the set-theoretic issues, except when they are relevant (e.g., the discussion on accessibility.) The notations and the conventions used throughout the article are: (en)
foaf:depiction
dcterms:subject	Glossaries of mathematics Category theory
Wikipage page ID	2390225 (xsd:integer)
Wikipage revision ID	1104071429 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Categorical logic Categories for the Working Mathematician Beck's monadicity theorem Power set Proper class End (category theory) Enriched category Epimorphism Module (mathematics) Monad (category theory) Monomorphism N-category Monoidal category Subcategory Barry Mazur Bifunctor Bimorphism Determinant Hom-set Day convolution Derived algebraic geometry Derived category Presheaf (category theory) Prestack Pseudo-functor Pseudoalgebra Trivial group Comonad Mathematical logic Mathematics Generator (category theory) Natural transformation Profunctor Simplicial localization Perfect complex Coherent isomorphism Equalizer (mathematics) Full functor Full subcategory Function (mathematics) Fundamental groupoid Galois theory Glossary of algebraic topology Bousfield localization Monoid action Concrete category Cone (category theory) Conglomerate (mathematics) Connected category Conservative functor Contractible space Coproduct Glossaries of mathematics Equivalence of categories Opposite category André Joyal Limit (category theory) Calculus of functors Simplicial object Steve Awodey Combinatorial species Comma category Commutative ring Complete category Composition series Density theorem (category theory) Zero Zero object Empty set Frobenius category Fukaya category Functor Functor category PROP (category theory) 2-category Additive category Category of categories Category of sets

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