Juhász’s topological generalization of Neumer’s theorem may fail in 𝖹𝖥

DOI10.1090/proc/14794zbMath1477.03201OpenAlexW2981932182MaRDI QIDQ5212435

Eleftherios Tachtsis

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14794

zbMATH Keywords

axiom of choiceweak axioms of choiceJech-Sochor first embedding theoremNeumer's theoremJuhász's theoremFraenkel-Mostowski permutation model of \(\mathsf{ZFA}\)Pincus's transfer theorems.

Mathematics Subject Classification ID

Consistency and independence results (03E35) Consistency and independence results in general topology (54A35) Axiom of choice and related propositions (03E25)

Related Items (1)

On the interrelation of a theorem of Juhász and certain weak axioms of choice

Cites Work

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• Set theory. An introduction to independence proofs
• Fodor's lemma can fail everywhere
• Verallgemeinerung eines Satzes von Alexandroff und Urysohn
• On Neumer's Theorem
• Adding dependent choice
• Axioms of multiple choice
• Axiom of choice
• The axiom of choice

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