\begin{definition}[Definition:Morphism of Sheaves]
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 $\FF \to \GG$.
\end{definition}