Article ID Journal Published Year Pages File Type
4660292 Topology and its Applications 2010 4 Pages PDF
Abstract

Let X be a Hausdorff topological space and exp(X) be the space of all (nonempty) closed subsets of a space X with the Vietoris topology. We consider hereditary normality-type properties of exp(X). In particular, we prove that if exp(X) is hereditarily D-normal, then X is a metrizable compact space.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology