Boundary maps in bounded cohomology Appendix to: Burger and Monod, in this issue
type: Item
instance of: scholarly article
title: Boundary maps in bounded cohomology Appendix to: Burger and Monod, in this issue
zbMATH Open document ID: 1006.22011
published in: Geometric and Functional Analysis. GAFA
publication date: 2002-07-29T00:00:00Z
review text: In this appendix to the paper by \textit{M. Burger} and \textit{N. Monod} [ibid. 12, 219-280 (2002; see the preceding review)], the authors show that given a group homomorphism \(\pi:G_1\to G_2\), there is a contravariant map \(\pi^*:H^*_{cb} (G_2)\to H^*_{cb} (G_1)\) of continuous bounded cohomology groups. This contravariance property is far from being obvious, and the proof uses properties of boundary maps.
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 1773435
zbMATH Keywords: bounded cohomology groups
zbMATH Keywords: boundary maps
author: Marc Burger
author: Alessandra Iozzi
MaRDI profile type: Publication
full work available at URL: s00039-002-8246-8
OpenAlex ID: W1999816634
DOI: 10.1007/S00039-002-8246-8
description: scientific article; zbMATH DE number 1773435