On Bredon (Co-)Homological Dimensions of Groups

2010/09/23 by Martin Fluch, Fluch, Martin · 3 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GR

paper · pdf · doi:10.48550/arxiv.1009.4633

The author's PhD thesis, revised version, 139 pages

openalex publication_date 2010/09/23 · arxiv created 2012/08/31 · arxiv updated 2012/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a revised version of the author's PhD thesis, including the corrections by the examiners. It also includes a few additional small corrections. In this thesis the objects of study are classifying spaces of groups with stabilisers in a given family of subgroups. Given a group G and a family of subgroups we study the minimal dimension a classifying space can have. We focus on classifying spaces with virtually cyclic stabilisers.

Cited by

• The ambient classifying space of a classical knot group
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• Bredon-Poincare Duality Groups

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