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Almost homomorphisms of compact groups

Almost homomorphisms of compact groups
Almost homomorphisms of compact groups
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."
0019-2082
Spakula, Jan
c43164e4-36a7-4372-9ce2-9bfbba775d77
Spakula, Jan
c43164e4-36a7-4372-9ce2-9bfbba775d77

Spakula, Jan (2004) Almost homomorphisms of compact groups. Illinois Journal of Mathematics, 48 (4).

Record type: Article

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."

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Published date: 2004
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Local EPrints ID: 420369
URI: http://eprints.soton.ac.uk/id/eprint/420369
ISSN: 0019-2082
PURE UUID: a432a3b2-f5d2-4001-a951-bf1c9afe576b
ORCID for Jan Spakula: ORCID iD orcid.org/0000-0001-5775-9905

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Date deposited: 04 May 2018 16:30
Last modified: 16 Mar 2024 04:16

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Author: Jan Spakula ORCID iD

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