On the set-theoretic strength of the $n$-compactness of generalized Cantor cubes

DOI10.4064/fm961-1-2016zbMath1367.03086OpenAlexW2472559240MaRDI QIDQ3178234

Eleftherios Tachtsis, Paul E. Howard

Publication date: 8 July 2016

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm961-1-2016

zbMATH Keywords

compactnessaxiom of choiceBoolean prime ideal theoremgeneralized Cantor cubes\(n\)-compactnessFraenkel-Mostowski (FM) permutation models

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Product spaces in general topology (54B10) Axiom of choice and related propositions (03E25)

Related Items (2)

On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes ⋮ On the minimal cover property in \(\mathbf{ZF}\)

Cites Work

• On a variant of Rado's selection lemma and its equivalence with the Boolean prime ideal theorem
• Some consequences of Rado's selection lemma
• On the minimal cover property in \(\mathbf{ZF}\)
• RADO'S SELECTION LEMMA DOES NOT IMPLY THE BOOLEAN PRIME IDEAL THEOREM
• Variants of RADO'S Selection Lemma and their Applications
• On vector spaces over specific fields without choice
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