Definition:Morphism of Presheaves on Topological Space

Definition
Let $X$ be a topological space.

Let $\mathbf C$ be a category.

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

Definition 2
A morphism of presheaves from $\FF$ to $\GG$ is a natural transformation $\FF \to \GG$.

Also see

 * Definition:Category of Presheaves on Topological Space