Uniform continuity in \({\omega}_{\mu}\)-metric spaces and uc \({\omega}_{\mu}\)-metric extendability

DOI10.1007/s10474-016-0643-9zbMath1389.54070OpenAlexW2528132763MaRDI QIDQ2400103

C. Guadagni, Anna Di Concilio

Publication date: 25 August 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0643-9

zbMATH Keywords

Vietoris topologyuniform spaceHausdorff convergence\({\omega}_{\mu}\)-additive topological space\({\omega}_{\mu}\)-metric spaceHausdorff-Bourbaki uniformityNagata extensionpseudo-Cauchy netuc-ness in \({\omega}_{\mu}\)-metric spaceuniform space with a totally ordered base

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (2)

Simultaneous extensions of metrics and ultrametrics of high power ⋮ Topologicality of the Whitney topology on function spaces in the \(\omega_\mu\)-metric framework

Cites Work

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• Uniform continuity of continuous functions of metric spaces
• Spaces whose finest uniformity is metric
• \(\omega\mu\)-additive topological spaces
• Metrizability of Decomposition Spaces
• Uniform Continuity of Continuous Functions on Uniform Spaces
• Atsuji completions vis-à-vis hyperspaces
• 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 uniform spaces with linearly ordered bases II ($ω_μ$-metric spaces)
• Some results on uniform spaces with linearly ordered bases
• On Normal Metrics
• On UC Spaces
• Totality of uniform structures with linearly ordered base
• The Topology of Ordered Abelian Groups
• Remarks on some topological spaces of high power

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