91340 artpubuab driver oai:ddd.uab.cat:91340 doi 10.5565/PUBLMAT_56212_06 articleid 02141493v56n2p393 eng Dembegioti, F. Intermediaries in Bredon (co)homology and classifying spaces 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. Anglès Tots els drets reservats http://www.europeana.eu/rights/rr-f/ Article de fons Classifying space Bredon (co)homology Spectral sequence info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Petrosyan, N. Talelli, O. Vol. 56, Núm. 2 (2012), p. 393-412 Publicacions matemàtiques 0214-1493 20 431625 http://ddd.uab.cat/uab/pubmat/pubmat_a2012v56n2/pubmat_a2012v56n2p393.pdf 0393 412 2 56 pubmat_a2012v56n2 2012 ARTPUB PUBMAT UAB file 0 MD5 78f7c26a18508851c2915cb7bd2f304e 431625 bytestream 1.5 filepath uab/pubmat/pubmat_a2012v56n2/pubmat_a2012v56n2p393.pdf disk