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arXiv · 2105.05223

Bounded cohomology of classifying spaces for families of subgroups

Kevin Li
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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--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.

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Kevin Li. 2021-05-11. Bounded cohomology of classifying spaces for families of subgroups. https://doi.org/10.2140/agt.2023.23.933

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