Open Access
Winter 2004 Almost homomorphisms of compact groups
Pavol Zlatoš, Ján Špakula
Illinois J. Math. 48(4): 1183-1189 (Winter 2004). DOI: 10.1215/ijm/1258138505

Abstract

A continuous mapping between compact topological groups which is "almost" a homomorphism need not be uniformly close to a homomorphism. The distance of the almost homomorphism from a strict homomorphism can be shown to depend not just on the degree of its nonhomomorphy but also on some "continuity scale."

Citation

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Pavol Zlatoš. Ján Špakula. "Almost homomorphisms of compact groups." Illinois J. Math. 48 (4) 1183 - 1189, Winter 2004. https://doi.org/10.1215/ijm/1258138505

Information

Published: Winter 2004
First available in Project Euclid: 13 November 2009

zbMATH: 1058.22007
MathSciNet: MR2113671
Digital Object Identifier: 10.1215/ijm/1258138505

Subjects:
Primary: 22C05
Secondary: 41A65

Rights: Copyright © 2004 University of Illinois at Urbana-Champaign

Vol.48 • No. 4 • Winter 2004
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