Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
A 2-functor exhibits the 2-category as a full sub-2-category of if for all objects the component functor is an equivalence of categories
hence if is a 2-fully-faithful 2-functor.
and can be considered as (1-)categories by forgetting their 2-morphisms, and can be considered as a (1-)functor via decategorification. As a result, every full sub-2-category is also a full subcategory.
If is a (2,1)-category a full sub-2-category is equivalently a full sub-(∞,1)-category.
basic properties of…
Last revised on December 10, 2023 at 18:38:25. See the history of this page for a list of all contributions to it.