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Andoza:Category theory

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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

Higher category theory

Key concepts

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

2-group
2-ring
E_n-ring
(Traced)(Symmetric) monoidal category
- Monoidal functor
n-group
n-monoid

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