Bounded cohomology of amenable covers via classifying spaces

DOI10.4171/LEM/66-1/2-8zbMath1475.55004arXiv1910.11716OpenAlexW3092201625MaRDI QIDQ2032792

Roman Sauer, Clara Löh

Publication date: 14 June 2021

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11716

zbMATH Keywords

bounded cohomologyamenable coversclassifying spaces of families of subgroups

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35) Singular homology and cohomology theory (55N10)

Related Items

Topological volumes of fibrations: a note on open covers, On the simplicial volume and the Euler characteristic of (aspherical) manifolds, Amenable covers and integral foliated simplicial volume, Amenable category and complexity, Amenable covers and ℓ1-invisibility, Bounded cohomology of classifying spaces for families of subgroups, Median quasimorphisms on CAT(0) cube complexes and their cup products, The spectrum of simplicial volume with fixed fundamental group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volume and bounded cohomology
• Transformation groups
• Foundations of the theory of bounded cohomology
• Transformation groups and algebraic \(K\)-theory
• A note on bounded-cohomological dimension of discrete groups
• Sur les théorèmes de de Rham
• Sur la forme des espaces topologiques et sur les points fixes des représentations
• Bounded Cohomology of Discrete Groups
• Continuous bounded cohomology of locally compact groups