Skyscraper sheaf of sets
= Skyscraper sheaf of sets
{title2=$i_*S(V)=S\text{ if }x\in V,\quad i_*S(V)=1\text{ otherwise}$}
For inclusion of a point $i:\{x\}\to X$, this is the direct-image sheaf of a set. It is <right adjoint> to the <stalk functor>. It uses the singleton terminal set on opens omitting $x$, rather than the zero <group> used for abelian-group skyscraper sheaves.