Hindman’s theorem in the hierarchy of choice principles

DOI10.1142/s0219061323500022arXiv2203.06156WikidataQ123335347 ScholiaQ123335347MaRDI QIDQ6146541

David J. Fernández Bretón

Publication date: 31 January 2024

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

Full work available at URL: https://arxiv.org/abs/2203.06156

zbMATH Keywords

Hindman's theoremweak choice principlesFraenkel-Mostowski modelchoiceless set theory

Mathematics Subject Classification ID

Consistency and independence results (03E35) Axiomatics of classical set theory and its fragments (03E30) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65) Partition relations (03E02) Axiom of choice and related propositions (03E25)

Related Items (1)

On some open problems about \(P\)-spaces, strongly quasi Baire spaces and choice

Cites Work

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• Adding dependent choice
• Ramsey's theorem in the hierarchy of choice principles
• Some Aspects and Examples of Infinity Notions
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
• Axiom of choice
• The axiom of choice

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