INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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The equivariant homotopy type of $G$-${\rm ANR}$'s for proper actions of locally compact groups

Sergey A. Antonyan¹, Erik Elfving²
Banach Center Publ. 85 (2009), 155-178
doi:10.4064/bc85-0-11
Abstract: We prove that if $G$ is a locally compact Hausdorff group then every proper $G$-ANR space has the $G$-homotopy type of a $G$-CW complex. This is applied to extend the James-Segal $G$-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.

MSC (2010): Primary 55P91; Secondary 54C55
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1. Departamento de Matemáticas
   Facultad de Ciencias
   Universidad Nacional Autónoma de México
   04510 México Distrito Federal, México
   
2. Department of Mathematics and Statistics
   P.O. Box 68 (Gustaf Hällströmin katu 2b)
   FI-00014 University of Helsinki, Finland
   

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