Definition:Morphism of Sheaves

Definition
Let $X$ be a topological space.

Let $\mathbf C$ be a category.

Let $\FF$ and $\GG$ be $\mathbf C$-valued sheaves on $X$.

A sheaf morphism from $\FF$ to $\GG$ is a presheaf morphism $\FF \to \GG$.

Also see

 * Definition:Category of Sheaves on Topological Space