Metric spaces on which continuous functions are ``almost uniformly continuous

DOI10.1016/j.topol.2017.10.009zbMath1379.54018OpenAlexW2767193103MaRDI QIDQ1676541

Kyriakos Keremedis

Publication date: 9 November 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2017.10.009

zbMATH Keywords

compactcompletetotally boundedLebesgue metric spaceuniformly continuous metric space

Mathematics Subject Classification ID

Compactness (54D30) Real-valued functions in general topology (54C30)

Related Items (3)

Functions that preserve certain classes of sequences and locally Lipschitz functions ⋮ Cofinal completion vis-á-vis Cauchy continuity and total boundedness ⋮ Cofinal completeness vis-á-vis hyperspaces

Cites Work

• On metric spaces where continuous real valued functions are uniformly continuous in \(\mathbf{ZF}\)
• Uniform continuity of continuous functions of metric spaces
• On Sequential Compactness and Related Notions of Compactness of Metric Spaces in $\mathbf {ZF}$
• More about metric spaces on which continuous functions are uniformly continuous
• Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
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