Article ID Journal Published Year Pages File Type
4660060 Topology and its Applications 2011 10 Pages PDF
Abstract

In this paper, for G a locally compact group (or a Lie group), we study the relationship between the covering dimensions of a proper G-space X and its orbit space X/G. We prove also that for every proper G-space X with a metrizable orbit space provided that G is either pro-Lie or σ-compact or has a metrizable quotient group of connected components.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology