eng
Intermediaries in Bredon (co)homology and classifying spaces
Dembegioti, F.
Petrosyan, N.
Talelli, O.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2012
Classifying space
Bredon (co)homology
Spectral sequence
Publicacions matemàtiques ; Vol. 56, Núm. 2 (2012), p. 393-412
http://ddd.uab.cat/record/91340
10.5565/PUBLMAT_56212_06
oai:ddd.uab.cat:91340
02141493v56n2p393
info:eu-repo/semantics/openAccess
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http://www.europeana.eu/rights/rr-f/
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.
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