JournalslemVol. 66, No. 1/2pp. 151–172

Bounded cohomology of amenable covers via classifying spaces

  • Clara Löh

    Universität Regensburg, Germany

  • Roman Sauer

    Karlsruhe Institute of Technology (KIT), Germany
Bounded cohomology of amenable covers via classifying spaces cover

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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

Clara 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