Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
Notions of subcategory
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.
If and are ordinaray categories regarded as 2-categories, a full sub 2-category is equivalently a full subcategory of .
If is a (2,1)-category a full sub-2-category is equivalently a full sub-(∞,1)-category.
Revised on August 31, 2012 18:20:13