Geodesic
Bounded cohomology of classifying spaces for families of subgroups
Li, Kevin1
1 School of Mathematical Sciences, University of Southampton, Southampton, United Kingdom, Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany
Algebraic and Geometric Topology, Tome 23 (2023) no. 2, pp. 933-962

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2023.23.933
Keywords: bounded cohomology, Bredon cohomology, relative amenability, relative hyperbolicity

Li, Kevin 1

1 School of Mathematical Sciences, University of Southampton, Southampton, United Kingdom, Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany 
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Li, Kevin. Bounded cohomology of classifying spaces for families of subgroups. Algebraic and Geometric Topology, Tome 23 (2023) no. 2, pp. 933-962. doi: 10.2140/agt.2023.23.933

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