Final functor
In Category theory, the notion of final functor is a generalization of the notion of final object in a category.
A functor is called final if, for any set-valued functor, the colimit of G is the same as the colimit of. Note that an object d∈Ob is a final object in the usual sense if and only if the functor is a final functor as defined here.
The notion of initial functor is defined as above, replacing final by initial and colimit by limit.