A semipresheaf on a semicategory $C$ is a semifunctor
from the opposite semicategory $C^{op}$ of $C$ to the category Set of sets.
The category of semipresheaves on $C$, usually denoted $[C^{op},Set]_{semi}$, or just $[C^{op},Set]$ when the context is clear has:
semifunctors $F : C^{op} \to Set$ as objects;
natural transformations between such semifunctors as morphisms.
Created on March 30, 2010 at 20:12:05. See the history of this page for a list of all contributions to it.