Bounded cohomology of classifying spaces for families of subgroups

Li, Kevin (2023) Bounded cohomology of classifying spaces for families of subgroups. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 23 (2). pp. 933-962. ISSN 1472-2739

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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.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Mar 2024 09:24
Last Modified: 08 Mar 2024 09:24
URI: https://pred.uni-regensburg.de/id/eprint/59369

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