\begin{definition}[Definition:Associated Section of Étalé Space]
Let $T = \struct {S, \tau}$ be a topological space.
Let $\FF$ be a presheaf of sets.
Let $\map {\operatorname {\acute Et} } \FF$ be its étalé space.
Let $U \subseteq S$ be open in $T$.
Let $s \in \map \FF U$ be a section.
The '''associated section''' of $\map {\operatorname {\acute Et} } \FF$ is the mapping:
:$\overline s : U \to \map {\operatorname {\acute Et} } \FF: x \mapsto \tuple {x, s_x}$
where $s_x$ is the image in the stalk at $x$.
\end{definition}