Notions of compactness for special subsets of ℝI and some weak forms of the axiom of choice
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Publication:5190199
DOI10.2178/jsl/1264433919zbMath1190.03042OpenAlexW1998126380WikidataQ114005166 ScholiaQ114005166MaRDI QIDQ5190199
Publication date: 15 March 2010
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2178/jsl/1264433919
Compactness (54D30) Product spaces in general topology (54B10) Axiom of choice and related propositions (03E25)
Related Items (3)
Compact and Loeb Hausdorff spaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathsf {ZF}$\end{document} and the axiom of choice for families of finite sets ⋮ Helly spaces and Radon measures on complete lines ⋮ On Loeb and sequential spaces in \textbf{ZF}
Cites Work
- Countable choice and compactness
- Continuous images of weakly compact subsets of Banach spaces
- Tychonoff Products of Two-Element Sets and Some Weakenings of the Boolean Prime Ideal Theorem
- The unit ball of the Hilbert space in its weak topology
- Products of Compact Spaces in the Least Permutation Model
- A New Proof of the Tychonoff Theorem
- The axiom of choice
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