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Bounded cohomology of
classifying spaces for families of subgroups
Kevin Li |
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Algebraic & Geometric Topology 23 (2023) 933–962
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Abstract |
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We introduce a bounded version of Bredon cohomology for groups relative to a family of subgroups. Our theory generalizes bounded cohomology and differs from Mineyev and Yaman’s relative bounded cohomology for pairs. We obtain cohomological characterizations of relative amenability and relative hyperbolicity, analogous to the results of Johnson and Mineyev for bounded cohomology. |
Keywords
bounded cohomology, Bredon cohomology, relative
amenability, relative hyperbolicity
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Mathematical Subject Classification
Primary: 20J06, 55N35
Secondary: 20F67, 43A07
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References |
Publication
Received: 4 August 2021
Revised: 27 September 2021
Accepted: 7 November 2021
Published: 9 May 2023
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Authors |
| Kevin Li | |
| School of Mathematical
Sciences University of Southampton Southampton United Kingdom |
Fakultät für Mathematik Universität Regensburg Regensburg Germany |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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