On uniformly continuous functions between pseudometric spaces and the axiom of countable choice

DOI10.1007/S00153-018-0643-2zbMath1475.03095OpenAlexW2884768194WikidataQ114018306 ScholiaQ114018306MaRDI QIDQ1734263

Samuel Gomes da Silva

Publication date: 27 March 2019

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-018-0643-2

zbMATH Keywords

axiom of countable choiceuniform continuitypseudometric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Axiom of choice and related propositions (03E25)

Related Items (1)

The axiom of choice in metric measure spaces and maximal \(\delta\)-separated sets

Cites Work

• Unnamed Item
• On metric spaces where continuous real valued functions are uniformly continuous in \(\mathbf{ZF}\)
• Countable choice and pseudometric spaces
• On Weierstrass compact pseudometric spaces and a weak form of the axiom of choice
• Uniform continuity and normality of metric spaces in $\mathbf{ZF}$
• On the metric reflection of a pseudometric space in ZF
• Axiom of choice

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