Homotopy Type Theory
category theory > history (Rev #59)
Here we collect articles about doing category theory in HoTT. This is based off of the HoTT Book.
Definitions
Groupoids
Homotopy precategories
Morphisms
Categories
Functors
Limits and colimits
- product?
- coproduct?
- equaliser?
- directed colimit?
Dagger morphisms
Dagger categories
Order theory
2-posets
dagger 2-posets
Dagger morphisms in dagger 2-posets
Concrete categories
Higher categories
- (2,1)-precategory?
- (2,1)-category?
- (2,2)-precategory?
- (2,2)-category?
- 3-preorder?
- 3-poset?
Theorems
References
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