anafunctor category

Given categories $C$ and $D$, the *anafunctor category* $D^C$ has anafunctors $F: C \to D$ as objects and ananatural transformations between these as morphisms.

This is the appropriate notion of functor category to use in the absence of the axiom of choice (including many internal situations).

Functor categories serve as the hom-categories in the anabicategory Cat.

Created on May 3, 2009 at 18:56:48. See the history of this page for a list of all contributions to it.