ScalingStacks

Definition 4.2. For $X\in\Space_{B}$ and $M\rightarrow B$ a space over $B$, the space $\Gammac(M,X)$ of compactly supported sections of $X$ over $M$ is the subspace of $\Map_{/B}(M,X)$ consisting of those maps $f\colon M\to X$ over $B$ for which there is a compact subspace $K\subset M$ with the property that the restriction factors through the section: $f_{|M\smallsetminus K}:M\to B\to X$.