lean2/hott/algebra/category/category.md

algebra.category

Development of Category Theory. The following files are in this folder (sorted such that files only import previous files).

• precategory
• iso : iso, mono, epi, split mono, split epi
• category : Categories (i.e. univalent or Rezk-complete precategories)
• groupoid
• functor
• nat_trans : Natural transformations
• strict : Strict categories
• constructions (subfolder) : basic constructions on categories and examples of categories

The following files depend on some of the files in the folder constructions

• curry : Define currying and uncurrying of functors
• limits : Limits in a category, defined as terminal object in the cone category
• colimits : Colimits in a category, defined as the limit of the opposite functor
• adjoint : Adjoint functors and Equivalences (WIP)
• yoneda : Yoneda Embedding (WIP)