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