Intermediaries in Bredon (co)homology and classifying spaces
Dembegioti, F.
Petrosyan, N.
Talelli, O.

Date: 2012
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 EFG. We also introduce, for any subgroup closed class of groups F, a hierarchically de ned class of groups and show that if a group G is in this class, then G has finite F ∩ G-Bredon (co)homological dimension if and only if G has jump F ∩ G-Bredon (co)homology.
Rights: Tots els drets reservats
Language: Anglès
Document: article ; recerca ; publishedVersion
Subject: Classifying space ; Bredon (co)homology ; Spectral sequence
Published in: Publicacions matemàtiques, Vol. 56, Núm. 2 (2012) , p. 393-412, ISSN 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_56212_06
DOI: 10.5565/258155

20 p, 421.5 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2012-06-14, last modified 2017-10-21

   Favorit i Compartir