Vietoris Topology
- Mathematics & Logic -
Pure Mathematics Dictionary
Definition
A topology on a hyperspace of closed (or compact) subsets of a topological space X generated by hitting and containment conditions with open sets: typical subbasis elements are {F: F⊂U} (upper/hitting) and {F: F∩U≠∅} (lower/hitting), and the full Vietoris topology is generated by both types.