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Template:Category theory: Difference between revisions - Vigyanwiki

Template:Category theory: Difference between revisions

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Category theory

Revision as of 15:29, 4 December 2022

Category theory

Key concepts

Key concepts

Universal constructions

Limits	Terminal objects Products Equalizers Kernels Pullbacks Inverse limit
Colimits	Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit

Algebraic categories

Constructions on categories

File:Commutative diagram for morphism.svg

Higher category theory

Key concepts

Categorification

Enriched category

Higher-dimensional algebra

Homotopy hypothesis

Simplex category

n-categories

Weak `n`-categories	Bicategory (pseudofunctor) Tricategory Tetracategory Kan complex ∞-groupoid ∞-topos
Strict `n`-categories	2-category (2-functor) 3-category

Categorified concepts

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