Bounded cohomology of amenable covers via classifying spaces
C. Löh
Universität Regensburg, GermanyRoman Sauer
Karlsruhe Institute of Technology (KIT), Germany

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 this article
C. Löh, Roman Sauer, Bounded cohomology of amenable covers via classifying spaces. Enseign. Math. 66 (2020), no. 1/2, pp. 151–172
DOI 10.4171/LEM/66-1/2-8