Atsuji completions vis-à-vis hyperspaces

DOI10.2478/s12175-008-0089-9zbMath1174.54017OpenAlexW1981825591MaRDI QIDQ3515147

Tanvi Jain, Subiman Kundu

Publication date: 28 July 2008

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-008-0089-9

zbMATH Keywords

hyperspaceHausdorff metricVietorisuniform continuityproximalAtsuji spacelocally finiteCauchy-sequentially regular

Mathematics Subject Classification ID

Complete metric spaces (54E50) Continuous maps (54C05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Special maps on metric spaces (54E40) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (5)

Uniform continuity in \({\omega}_{\mu}\)-metric spaces and uc \({\omega}_{\mu}\)-metric extendability ⋮ Induced homeomorphism and Atsuji hyperspaces ⋮ More on variants of complete metric spaces ⋮ Property-directed incremental invariant generation ⋮ Cofinal completeness vis-á-vis hyperspaces

Cites Work

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• More about metric spaces on which continuous functions are uniformly continuous
• Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
• UC Spaces Revisited
• On Normal Metrics
• Graph Topology for Function Spaces

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