Bounded cohomology of classifying spaces for families of subgroups
Bounded cohomology of classifying spaces for families of subgroups
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.
933-962
Li, Kevin
bbb46dbd-27a3-4bc7-9f01-fe523574ca49
9 May 2023
Li, Kevin
bbb46dbd-27a3-4bc7-9f01-fe523574ca49
Li, Kevin
(2023)
Bounded cohomology of classifying spaces for families of subgroups.
Algebraic and Geometric Topology, 23 (2), .
(doi:10.2140/agt.2023.23.933).
Abstract
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.
Text
10.1177_17511437221095122
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Accepted/In Press date: 7 November 2021
Published date: 9 May 2023
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© 2023, Mathematical Sciences Publishers. All rights reserved.
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Local EPrints ID: 478373
URI: http://eprints.soton.ac.uk/id/eprint/478373
ISSN: 1472-2747
PURE UUID: 2a302c68-b918-42f8-aa29-24e9412ebf0c
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Date deposited: 29 Jun 2023 16:45
Last modified: 17 Mar 2024 02:40
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