Article ID Journal Published Year Pages File Type
4660259 Topology and its Applications 2008 7 Pages PDF
Abstract

We investigate the question which compact convex sets are homeomorphic to their product with the unit interval. We prove it in particular for the space of probability measures on any infinite scattered compact space and for the half-ball of a non-separable Hilbert space equipped with the weak topology. We also show examples of compact spaces for which it is not the case.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology