Bounded cohomology of amenable covers via classifying spaces
arXiv:1910.11716
Abstract
Gromov and Ivanov established an analogue of Leray's theorem on cohomology of contractible covers for bounded cohomology of amenable covers. We present an alternative proof of this fact, using classifying spaces of families of subgroups.
17 pages, 2 figures; to appear in L'Enseignement Mathématique