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Metric spaces and the axiom of choice

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Publication:4434500
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DOI10.1002/malq.200310049zbMath1041.03036OpenAlexW2047055229WikidataQ114018747 ScholiaQ114018747MaRDI QIDQ4434500

Eric J. Hall, Jean E. Rubin, Kyriakos Keremedis, Omar De La Cruz, Paul E. Howard

Publication date: 10 November 2003

Published in: MLQ (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.200310049


zbMATH Keywords

metric spacetopological spaceaxiom of choicemetrizability


Mathematics Subject Classification ID

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


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Countable products and countable direct sums of compact metrizable spaces in the absence of the Axiom of Choice ⋮ Cuf products and cuf sums of (quasi-) metrizable spaces in ZF ⋮ The axiom of choice in metric measure spaces and maximal \(\delta\)-separated sets ⋮ On metrizability and compactness of certain products without the axiom of choice ⋮ Unions and the axiom of choice ⋮ Several results on compact metrizable spaces in \(\mathbf{ZF} \)




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