Bounded cohomology of amenable covers via classifying spaces
Clara LöhUniversität Regensburg, Germany
Roman SauerKarlsruhe Institute of Technology (KIT), Germany
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
Clara Löh, Roman Sauer, Bounded cohomology of amenable covers via classifying spaces. Enseign. Math. 66 (2020), no. 1/2, pp. 151–172DOI 10.4171/LEM/66-1/2-8