Bredon cohomological dimensions for proper actions and Mackey functors

Dieter Dries Degrijse

doi:10.1515/forum-2014-0003

Bredon cohomological dimensions for proper actions and Mackey functors

Dieter Dries Degrijse

Institut for Matematiske Fag

2 Citationer (Scopus)

Abstract

Abstract
For groups with a uniform bound on the length of chains of finite subgroups, we study the relationship between the Bredon cohomological dimension for proper actions and the notions of cohomological dimension one obtains by restricting the coefficients of Bredon cohomology to (cohomological) Mackey functors or fixed point functors. We also investigate the closure properties of the class of groups with finite Bredon cohomological dimension for Mackey functors

Originalsprog	Engelsk
Tidsskrift	Forum Mathematicum
Vol/bind	27
Udgave nummer	6
Sider (fra-til)	3667-3696
ISSN	0933-7741
DOI	https://doi.org/10.1515/forum-2014-0003
Status	Udgivet - 1 nov. 2015

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10.1515/forum-2014-0003

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AB - For groups with a uniform bound on the length of chains of finite subgroups, we study the relationship between the Bredon cohomological dimension for proper actions and the notions of cohomological dimension one obtains by restricting the coefficients of Bredon cohomology to (cohomological) Mackey functors or fixed point functors. We also investigate the closure properties of the class of groups with finite Bredon cohomological dimension for Mackey functors.

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Bredon cohomological dimensions for proper actions and Mackey functors

Abstract

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