Nullification functors and the homotopy type of the classifying space for proper bundles

Flores, Ramon J¹

¹Departamento de Matemáticas, Universidad Autónoma de Barcelona, E–08193 Bellaterra, Spain

Algebraic and Geometric Topology, Tome 5 (2005) no. 3, pp. 1141-1172

Résumé

Let G be a discrete group for which the classifying space for proper G–actions is finite-dimensional. We find a space W such that for any such G, the classifying space  B¯G for proper G–bundles has the homotopy type of the W–nullification of  BG. We use this to deduce some results concerning  B¯G and in some cases where there is a good model for  B¯G we obtain information about the  Bℤ∕p–nullification of  BG.

Détail

DOI : 10.2140/agt.2005.5.1141

Keywords: (co)localization, finite groups, Eilenberg–MacLane spaces

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