The equivariant homotopy type of G-ANR’s for compact group actions |
| |
| Authors: | Sergey A. Antonyan Erik Elfving |
| |
| Affiliation: | 1.Departamento de Matematicas, Facultad de Ciencias,Universidad Nacional Autónoma de México,México Distrito Federal,México;2.Department of Mathematics and Statistics,University of Helsinki,Helsinki,Finland |
| |
| Abstract: | We prove that if G is a compact Hausdorff group then every G-ANR 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 compact group actions. The first author was supported in part by grant U42563-F from CONACYT (Mexico). |
| |
| Keywords: | 55P91 54C55 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
