Category of elements
From Wikipedia, the free encyclopedia
In category theory, for every presheaf the category of elements
of P is the category defined as follows:
- its objects are pairs (A,a) where A is an object of C and
,
- its morphisms
are the morphisms
of C such that a = P(f)(b).
This construction can be extended into a functor from
to
, the category of small categories.