Lecture
This lecture introduces the concept of category equivalence in the context of functors. An equivalence of categories is defined as a pair of functors between two categories that are isomorphic to the identity functors. The lecture explores the natural isomorphisms that exist between these functors, highlighting the equivalence between the categories involved. Various examples and remarks are provided to illustrate the concept, emphasizing the conditions under which a functor can be considered an equivalence of categories.