Theory: Adjunctions

Related lectures (32)

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores category equivalences, adjunctions, and group actions in category theory.

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

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

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Introduces natural transformations in category theory through concrete examples from group theory.

Covers natural transformations between functors, identity transformations, and equivalence of categories.

Introduces limits and colimits in a category, covering their properties and uniqueness.

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