Article ID Journal Published Year Pages File Type
4660974 Topology and its Applications 2008 6 Pages PDF
Abstract

We demonstrate that for every n<ω there exists a separable completely metrizable space Xn which has a continuous selection for its Vietoris hyperspace of nonempty compact subsets, but dim(Xn)=n. Related results and open problems are discussed.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology