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

DOI10.1002/malq.201020039zbMath1251.03054OpenAlexW2034766707WikidataQ114018693 ScholiaQ114018693MaRDI QIDQ2888625

Kyriakos Keremedis

Publication date: 1 June 2012

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.201020039

zbMATH Keywords

axiom of choiceweak axioms of choiceBoolean prime ideal theoremTychonoff productsLoeb spaces

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Consistency and independence results in general topology (54A35) Axiom of choice and related propositions (03E25)

Related Items (4)

The Boolean prime ideal theorem and products of cofinite topologies ⋮ On the minimal cover property in \(\mathbf{ZF}\) ⋮ Second-countable compact Hausdorff spaces as remainders in \textbf{ZF} and two new notions of infiniteness ⋮ On Loeb and sequential spaces in \textbf{ZF}

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The structure of amorphous sets
• Amorphe Potenzen kompakter Räume
• Tychonoff Products of Two-Element Sets and Some Weakenings of the Boolean Prime Ideal Theorem
• Products of Compact Spaces in the Least Permutation Model
• The Baire Category Property and Some Notions of Compactness
• Products of some special compact spaces and restricted forms of AC
• Notions of compactness for special subsets of ℝ^I and some weak forms of the axiom of choice
• A New Proof of the Tychonoff Theorem

This page was built for publication: 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