Article ID Journal Published Year Pages File Type
4661088 Topology and its Applications 2007 6 Pages PDF
Abstract

The hyperspaces of strongly countable dimensional compacta of positive dimension and of strongly countable dimensional continua of dimension greater than 1 in the Hilbert cube are homeomorphic to the Hurewicz set of all nonempty countable closed subsets of the unit interval [0,1]. These facts hold true, in particular, for covering dimension dim and cohomological dimension dimG, where G is any Abelian group.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology