umbrella category

An **umbrella category** is an inhabited category $C$ such that for every object $X$ in $C$, there is at least one subterminal object $T$ such that the hom-set $C(X,T)$ is inhabited (hence being a singleton).

Created on June 26, 2011 at 15:54:57. See the history of this page for a list of all contributions to it.