Kropholler, P.H. and Wall, C.T.C. (2011) Group actions on algebraic cell complexes. Publicacions Matematiques, 55(1), pp. 3-18. (doi: 10.5565/PUBLMAT_55111_01)
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Abstract
We establish an algebraic version of the classical result that a G-map f between G-complexes which restricts to a homotopy equivalence f(H) on H-fixed sets for all subgroups H of G is a G-homotopy equivalence. This is used to give an alternative proof of a theorem of Bouc. We also include a number of illustrations and applications.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kropholler, Prof Peter |
| Authors: | Kropholler, P.H., and Wall, C.T.C. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Publicacions Matematiques |
| ISSN: | 0214-1493 |
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