Inverse image sheaf
= Inverse image sheaf
{title2=$f^{-1}\mathcal E$}
{wiki=Inverse_image_functor}
The inverse image sheaf $f^{-1}\mathcal E$ is the sheaf associated with the presheaf whose sections near $U\subseteq X$ are obtained as a colimit of $\mathcal E(V)$ over open sets $V\supseteq f(U)$.