Hypertopology
In the mathematical branch of topology, a hyperspace is a topological space, which consists of the set CL of all closed subsets of another topological space X, equipped with a topology so that the canonical map
is a homeomorphism onto its image. As a consequence, a copy of the original space X lives inside its hyperspace CL.
Early examples of hypertopology include the Hausdorff metric and Vietoris topology.
