Bounded cohomology of amenable covers via classifying spaces
Algebraic Topology
2020-06-09 v2
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.
Cite
@article{arxiv.1910.11716,
title = {Bounded cohomology of amenable covers via classifying spaces},
author = {Clara Loeh and Roman Sauer},
journal= {arXiv preprint arXiv:1910.11716},
year = {2020}
}
Comments
17 pages, 2 figures; to appear in L'Enseignement Math\'ematique