Homotopy Type Theory category theory > history (Rev #2)

Here we collect articles about doing category theory in HoTT. This is based off of the HoTT Book.

Definitions

• precategory
• isomorphism?
• category
• functor
• natural transformation
• functor precategory
• left adjoint
• equivalence of categories?
• faithful?
• full?
• split essentially surjective
• essentially surjective
• weak equivalence
• isomorphism of precategories?
• opposite precategory
• product category?

Theorems

• Rezk completion
• Yoneda lemma