An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups. For some Coxeter groups and the family of virtually cyclic subgroups we show that the Bredon cohomological dimension is 2 while the Bredon geometric dimension is 3.
Fluch, Martin
334d52ca-f225-415c-8500-ab5c75e58afc
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
2014
Fluch, Martin
334d52ca-f225-415c-8500-ab5c75e58afc
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Fluch, Martin and Leary, Ian
(2014)
An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers.
Groups, Geometry and Dynamics, 8.
(doi:10.4171/GGD/219).
Abstract
In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups. For some Coxeter groups and the family of virtually cyclic subgroups we show that the Bredon cohomological dimension is 2 while the Bredon geometric dimension is 3.
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eilenberg-ganea-for-vc_todjb.pdf
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eilenberg-ganea-for-vc_ggd-v2.pdf
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Submitted date: 17 July 2012
Accepted/In Press date: 8 April 2014
e-pub ahead of print date: 5 July 2014
Published date: 2014
Organisations:
Mathematical Sciences
Identifiers
Local EPrints ID: 342552
URI: http://eprints.soton.ac.uk/id/eprint/342552
ISSN: 1661-7207
PURE UUID: f7e953a2-ff8b-4177-ac16-6cb34fb9e392
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Date deposited: 06 Sep 2012 13:19
Last modified: 15 Mar 2024 03:36
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Author:
Martin Fluch
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