Definition:Direct Image of Presheaf

Definition
Let $\mathbf C$ be a category.

Let $T_1 = \struct {S_1, \tau_1}$ and $T_2 = \struct {S_2, \tau_2}$ be topological spaces.

Let $f : T_1 \to T_2$ be continuous.

Let $\FF$ be a $\mathbf C$-valued presheaf on $T_1$.

Also see

 * Equivalence of Definitions of Direct Image of Presheaf


 * Definition:Direct Image Sheaf Functor
 * Definition:Inverse Image of Presheaf
 * Definition:Inverse Image of Sheaf