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arXiv:2105.05223 [math.GR]AbstractReferencesReviewsResources

Bounded cohomology of classifying spaces for families of subgroups

Kevin Li

Published 2021-05-11, updated 2021-05-19Version 2

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.

Comments: v2: 20 pages, added Theorem 4.5, incorporated Section 6 into Section 4
Categories: math.GR, math.AT
Subjects: 55N35, 20J06, 43A07, 20F67
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