Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660060 | Topology and its Applications | 2011 | 10 Pages |
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