Generalization of Category Equivalence

Related lectures (32)

Page 3 of 4

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

Covers the definition and properties of natural transformations between functors in category theory.

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

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores group actions, defining functors on groups, and verifying properties of group actions.

Explores the definition of adjunctions and the relationship between functors.

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

Introduces adjunctions in category theory, exploring necessary conditions and natural transformations for adjoint functors.