lean2/library/algebra/category/category.md

algebra.category

Everything in this folder is outdated. See HoTT category folder for a up-to-date version.

Algebraic structures.

• basic : definition of fully and partially bundled categories
• morphism : isos, retracts, sections, monos, epis
• functor : functors, category of (smaller) categories
• natural_transformation
• constructions : constructions of basic examples and constructions of categories: opposite, type, discrete, product, functor, slice and arrow categories

The following files hardly have any content so far.

• limit : limits and colimits
• adjoint : adjoint functors
• yoneda : Yoneda embedding and Yoneda lemma