lean2/hott/algebra/category/category.md

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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 (subfolder) : definition and properties of functors
  • strict : Strict categories
  • nat_trans : Natural transformations
  • constructions (subfolder) : basic constructions on categories and examples of categories
  • 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
  • yoneda : Yoneda Embedding (WIP)