Title of article
Dimension of proper G-spaces
Author/Authors
Antonyan، نويسنده , , Sergey A. and Juلrez-Anguiano، نويسنده , , Hugo، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
10
From page
1910
To page
1919
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 dim X = Ind X 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.
Keywords
Orbit space , Slice , Covering dimension , proper action
Journal title
Topology and its Applications
Serial Year
2011
Journal title
Topology and its Applications
Record number
1583011
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