Stability of homomorphisms in the compact-open topology
type: Item
instance of: scholarly article
title: Stability of homomorphisms in the compact-open topology
zbMATH Open document ID: 1209.39007
author: Pavol Zlatoš
published in: Algebra Universalis
publication date: 2011-01-07T00:00:00Z
review text: The author uses the Arzelá-Ascoli theorem and limits of inverse (projective) systems of algebras of continuous functions with compact domains to establish a kind of stability result for continuous homomorphisms from any locally compact topological universal algebra to any completely regular topological universal algebra, see also the author's paper [Acta Univ. M. Belii, Ser. Math. 15, 73--79 (2009; Zbl 1205.46028)] for other results.
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54D45
Mathematics Subject Classification ID: 54C35
Mathematics Subject Classification ID: 22A30
zbMATH DE Number: 5833784
zbMATH Keywords: topological universal algebra
zbMATH Keywords: locally compact
zbMATH Keywords: uniformity
zbMATH Keywords: compact-open topology
zbMATH Keywords: continuous homomorphism
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s00012-010-0099-7
OpenAlex ID: W1991032587
cites work: Q4150804
cites work: Hyers-Ulam stability of functional equations in several variables
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cites work: Approximate homomorphisms
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cites work: On the stability of functional equations and a problem of Ulam
cites work: Almost homomorphisms of compact groups
cites work: Q3259049
cites work: Q3574509
DOI: 10.1007/S00012-010-0099-7
description: scientific article; zbMATH DE number 5833784