Cuf products and cuf sums of (quasi-) metrizable spaces in ZF

DOI10.1007/s10998-022-00450-0OpenAlexW4220775205MaRDI QIDQ2678445

Eliza Wajch, Kyriakos Keremedis

Publication date: 23 January 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13097

zbMATH Keywords

countable productweak forms of the axiom of choiceZFquasi-metrizabilitycuf setcofinite cuf spaceone-point Hausdorff compactificationtwo-point Hausdorff compactification

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Consistency and independence results in general topology (54A35) Axiom of choice and related propositions (03E25)

Related Items (4)

\(k\)-spaces, sequential spaces and related topics in the absence of the axiom of choice ⋮ Countable products and countable direct sums of compact metrizable spaces in the absence of the Axiom of Choice ⋮ On iso-dense and scattered spaces without \textbf{AC} ⋮ On \(P\)-spaces and \(G_{\delta}\)-sets in the absence of the axiom of choice

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