Stability of homomorphisms in the compact-open topology

DOI10.1007/S00012-010-0099-7zbMath1209.39007OpenAlexW1991032587MaRDI QIDQ616136

Pavol Zlatoš

Publication date: 7 January 2011

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-010-0099-7

zbMATH Keywords

stabilityuniformitylocally compactcompact-open topologycontinuous homomorphismtopological universal algebra

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Stability, separation, extension, and related topics for functional equations (39B82) General theory of topological algebras (46H05) Uniform structures and generalizations (54E15) Local compactness, (sigma)-compactness (54D45) Other topological algebraic systems and their representations (22A30)

Related Items (3)

Stability of Systems of General Functional Equations in the Compact-Open Topology ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ A local stability principle for continuous group homomorphisms in nonstandard setting

Cites Work

• On \(\varepsilon\)-representations
• On the stability of functional equations and a problem of Ulam
• Almost homomorphisms of compact groups
• Hyers-Ulam stability of functional equations in several variables
• Approximate extension of partial \(\varepsilon\)-characters of Abelian groups to characters with application to integral point lattices.
• Approximate homomorphisms
• Stability of functional equations in several variables
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