Fell topology
= Fell topology
{c}
The <Fell topology> on the closed subsets of a <locally compact space> has subbasic open sets requiring intersection with an open set or avoidance of a <compact set>. On a locally compact separable metric space, its sequential convergence says that every convergent subsequence of points from the varying sets has its limit in the limiting set, and every point of the limiting set is approximated by points from the varying sets.