Functor category

Related lectures (32)

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Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Explores building categories from graphs and the encoding of information by functors.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Covers the concept of natural transformations between functors and their associativity.

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Explores the construction of G-sets and left adjoint functors in category theory.

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Explores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.

Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.