Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
A locally full sub 2-category is one whose embedding 2-functor is locally fully faithful. This means that each is a full subcategory of .
The sub-2-category of Prof on all representable profunctors is locally full.
The sub-2-category of the 2-category of algebras for a 2-monad and lax morphisms between them contains, as a locally full sub-2-category, the 2-category of algebras and pseudo morphisms (or of strict morphisms, if is strict).
Both of these examples are also wide subcategories. A wide and locally full sub-2-category is equivalent to an F-category. See also 2-category equipped with proarrows.
Last revised on November 18, 2011 at 10:56:24. See the history of this page for a list of all contributions to it.