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Category theory

Definitions and resources

ScienceWISE definitions	External resources
	Category theory by Wikipedia

Subcategories and concepts

Subcategories

Concepts

Induced homomorphism Higher-dimensional algebra Information geometry Initial algebra Injective cogenerator Injective object Isbell conjugacy Isomorphism Isomorphism-closed subcategory Kan extension Karoubi envelope Krohn-Rhodes theory Krull-Schmidt category Localization of a category Model category Model structure Monoid Morphism Multicategory Operad theory Opposite category Pointless topology Polyad Posetal category Product category Projective cover Pseudo-abelian category Pulation square Quantaloid Quasi-category Quiver Quotient category R-algebroid Regular category Segal category Segal space Seifert-van Kampen theorem Semiautomaton Setoid Simplex category Simplicial set Simplicially enriched category Size functor Stable module category Subcategory Subdivided interval categories Subquotient Timeline of category theory and related mathematics Topological category Universal property Waldhausen category Sketch Anamorphism Auto magma object AB5 category Abstract elementary class Abstract nonsense Accessible category Algebraic stack Allegory Bundle Catamorphism Categorial grammar Categorical algebra Categorical quantum mechanics Categorical set theory Categories for the Working Mathematician Categorification Category of chain complexes Category of elements Chu space Coherence condition Coherence theorem Coimage Coinduction Cokernel Combinatory categorial grammar Comma category Commutative diagram Concrete category Connected category Corecursion Cotangent complex Dialectica space Discrete category Distributive category Double groupoid Duality theory for distributive lattices Eckmann-Hilton argument Embedding Endomorphism ring Enriched category Equivalence of categories F-algebra F-coalgebra Factorization system Fibration Fibred category Filtered category Graded category Grothendieck category Grothendieck construction Grothendieck universe Grothendieck's Galois theory Grothendieck's relative point of view Groupoid Endomorphism Lawvere theory Tensor category theory

General information

Categorization	Also known as
Mathematics (under construction)

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