Some implications of Ramsey choice for families of \(n\)-element sets

DOI10.1007/s00153-022-00860-4zbMath1528.03203arXiv2101.06924MaRDI QIDQ6103508

Lorenz Halbeisen, Salome Schumacher

Publication date: 5 June 2023

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

Full work available at URL: https://arxiv.org/abs/2101.06924

zbMATH Keywords

axiom of choicepermutation modelsPincus' transfer theoremsweak forms of the axiom of choicepartial choice for infinite families of \(n\)-element setsRamsey choice

Mathematics Subject Classification ID

Consistency and independence results (03E35) Axiom of choice and related propositions (03E25)

Cites Work

• Unnamed Item
• On Ramsey choice and partial choice for infinite families of \(n\)-element sets
• Forms of choice in ring theory
• Combinatorial Set Theory
• Weak choice principles
• THE RELATION BETWEEN TWO DIMINISHED CHOICE PRINCIPLES
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods

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