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Some Weak Forms of the Axiom of Choice Restricted to the Real Line

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Publication:2743652
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DOI<413::AID-MALQ413>3.0.CO;2-4 10.1002/1521-3870(200108)47:3<413::AID-MALQ413>3.0.CO;2-4zbMath1001.03044OpenAlexW2034914951MaRDI QIDQ2743652

Kyriakos Keremedis, Eleftherios Tachtsis

Publication date: 27 September 2001

Full work available at URL: https://doi.org/10.1002/1521-3870(200108)47:3<413::aid-malq413>3.0.co;2-4

zbMATH Keywords

countable union theoremsreal linegeneralizations of the axiom of choice


Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Axiom of choice and related propositions (03E25) Other aspects of forcing and Boolean-valued models (03E40)


Related Items

Weak axioms of choice for metric spaces, ON THE SET-THEORETIC STRENGTH OF ELLIS’ THEOREM AND THE EXISTENCE OF FREE IDEMPOTENT ULTRAFILTERS ON ω, On Hausdorff operators in ZF$\mathsf {ZF}$, On sequentially compact subspaces of \(\mathbb R\) without the axiom of choice, 2005 Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '05



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