On Uniform Continuity and Compactness in Metric Spaces

DOI10.2307/2320473zbMath0451.54024OpenAlexW4246764564MaRDI QIDQ3897696

Hermann Hueber

Publication date: 1981

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2320473

zbMATH Keywords

uniform continuitycompactness in metric spaces

Mathematics Subject Classification ID

Continuous maps (54C05) Compact (locally compact) metric spaces (54E45)

Related Items (12)

Structural aspects of the non-uniformly continuous functions and the unbounded functions within \(C\)(\(X\)) ⋮ Split Lipschitz-type functions ⋮ On metric spaces where continuous real valued functions are uniformly continuous and related notions ⋮ Preservation of uniform continuity under pointwise product ⋮ Between compactness and completeness ⋮ On boundedly compact metrics and UC metrics ⋮ Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance ⋮ An additivity theorem for uniformly continuous functions ⋮ Distance functionals and suprema of hyperspace topologies ⋮ Finitely chainable and totally bounded metric spaces: equivalent characterizations ⋮ More about metric spaces on which continuous functions are uniformly continuous ⋮ Uniform quasi components, thin spaces and compact separation

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