The equivariant homotopy type of G-ANR's for proper actions of locally compact groups

• Autorzy: Sergey A. Antonyan , Erik Elfving
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55P91: Equivariant homotopy theory
• 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 155-178

Daty

wydano

2009

Twórcy

autor

Sergey A. Antonyan

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México Distrito Federal, México

autor

Erik Elfving

• Department of Mathematics and Statistics, P.O. Box 68 (Gustaf Hällströmin katu 2b), FI-00014 University of Helsinki, Finland

Identyfikatory

DOI

10.4064/bc85-0-11