Authors

Fotini Dembegioti, Nansen Petrosyan, Olympia Talelli


Title 

Intermediaries in Bredon (Co)homology and Classifying Spaces


Abstract

For certain contractible G-CW-complexes and F a family of subgroups of G, we construct a spectral sequence converging to the F-Bredon cohomology of G with E1-terms given by the F-Bredon cohomology of the stabilizer subgroups. As applications, we obtain several corollaries concerning the cohomological and geometric dimensions of the classifying space for the family F. We also introduce a hierarchically defined class of groups which contains all countable elementary amenable groups and countable linear groups of characteristic zero, and show that if a group G is in this class, then G has finite F-Bredon (co)homological dimension if and only if G has jump F-Bredon (co)homology.



Status

Publicacions Matematiques, 56 (2) 2012, 393???412