On Loeb and sequential spaces in \textbf{ZF}

DOI10.1016/j.topol.2020.107279zbMath1448.54014arXiv1904.06774OpenAlexW3032773336MaRDI QIDQ776389

Eliza Wajch, Kyriakos Keremedis

Publication date: 8 July 2020

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

Full work available at URL: https://arxiv.org/abs/1904.06774

zbMATH Keywords

sequential spaceaxiom of choiceLoeb spaceCantor complete metric spaceweak choice principles

Mathematics Subject Classification ID

Complete metric spaces (54E50) Sequential spaces (54D55) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45) Axiom of choice and related propositions (03E25)

Related Items (5)

\(k\)-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} ⋮ Second-countable compact Hausdorff spaces as remainders in \textbf{ZF} and two new notions of infiniteness ⋮ Several results on compact metrizable spaces in \(\mathbf{ZF} \)

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