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

Data: 2012
Resum: 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.
Drets: Tots els drets reservats
Llengua: Anglès
Document: article ; recerca ; publishedVersion
Matèria: Classifying space ; Bredon (co)homology ; Spectral sequence
Publicat a: 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

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