Torsion sheaf
In mathematics, a torsion sheaf is a sheaf on a site for which, for every quasi-compact U, the space of sections is a torsion group. Similarly, for a prime number l, we say a sheaf is l-torsion if every section over any quasi-compact is killed by a power of l.
A torsion sheaf on an étale site is the union of its constructible subsheaves.
