Uniform continuity and normality of metric spaces in $\mathbf{ZF}$

DOI10.4064/ba8122-10-2017zbMath1436.03256OpenAlexW2765100054MaRDI QIDQ4595466

Kyriakos Keremedis

Publication date: 30 November 2017

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8122-10-2017

zbMATH Keywords

continuous functionaxiom of choicecompleteuniformly continuous functionCantor complete and separable metric spaces

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Compact (locally compact) metric spaces (54E45) Extension of maps (54C20) Real-valued functions in general topology (54C30) Axiom of choice and related propositions (03E25)

Related Items (2)

On uniformly continuous functions between pseudometric spaces and the axiom of countable choice ⋮ On densely complete metric spaces and extensions of uniformly continuous functions in $\mathbf{ZF}$

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