Countable choice and pseudometric spaces

DOI10.1016/S0166-8641(97)00138-7zbMath0922.03068OpenAlexW2022172691MaRDI QIDQ1295287

H. L. Bentley, Horst Herrlich

Publication date: 18 October 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00138-7

zbMATH Keywords

surveyseparabilitycompactnesscountable choiceaxiom of choiceBaire categorypseudometric spaceshierarchy of weak choice principles

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Baire category, Baire spaces (54E52) Axiom of choice and related propositions (03E25)

Related Items (9)

On first and second countable spaces and the axiom of choice ⋮ Total boundedness and the axiom of choice ⋮ Some versions of second countability of metric spaces in ZF and their role to compactness ⋮ The necessity of nowhere equivalence ⋮ Extension of positive operators ⋮ The axiom of choice in metric measure spaces and maximal \(\delta\)-separated sets ⋮ On dominated extension of linear operators ⋮ On uniformly continuous functions between pseudometric spaces and the axiom of countable choice ⋮ On the relative strength of forms of compactness of metric spaces and their countable productivity in \(\mathbf {\text{ZF}}\)

Cites Work

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• A remark on the axiom of choice
• The axiom of choice

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