On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes

DOI10.1016/J.TOPOL.2017.01.009zbMath1423.03182OpenAlexW2581492835MaRDI QIDQ511057

Eleftherios Tachtsis

Publication date: 14 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.01.009

zbMATH Keywords

Dedekind-finite setsweak axioms of choicegeneralized Cantor cubes\(\mathsf{ZF}\) models2-compactness of Tychonoff productsamorphous setschains/antichains in partially ordered setsFraenkel-Mostowski (FM) modelsminimal cover propertyPincus' transfer theoremsprinciple of consistent choicesprinciple of countable consistent choicesprinciple of partial consistent choicesRado's lemmaTychonoff products

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Product spaces in general topology (54B10) Ramsey theory (05D10) 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 Ramsey choice and partial choice for infinite families of \(n\)-element sets

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