A refinement of bounded cohomology

Journal of the Mathematical Society of Japan 2026 Open access

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Authors: Światosław R. Gal, Jarek Kędra
DOI: 10.2969/jmsj/92899289
Cited by: 2
References: 23

Abstract

We introduce a refinement of bounded cohomology and prove that the suitable comparison homomorphisms vanish for an amenable group. We investigate in this context Thompson's group F and provide further evidence towards its amenability. We provide a source of nontrivial 1-bounded classes and show that the space of 1-bounded classes in degree 2 is huge.

Fields of Study & Subjects

Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology Advanced Topology and Set Theory

Publication details

Journal / source
Journal of the Mathematical Society of Japan
Publisher
Mathematical Society of Japan (Project Euclid)
Volume
-1
Issue
-1
Pages
715-727
Publication date
13 April 2026
Language
EN