On Ramsey choice and partial choice for infinite families of \(n\)-element sets

DOI10.1007/s00153-019-00705-7zbMath1472.03056OpenAlexW2991696797MaRDI QIDQ781507

Eleftherios Tachtsis, Lorenz Halbeisen

Publication date: 17 July 2020

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

Full work available at URL: https://doi.org/10.1007/s00153-019-00705-7

zbMATH Keywords

axiom of choiceRamsey's theoremchain-antichain principlePincus' transfer theoremsweak forms of the axiom of choiceFraenkel-Mostowski permutation models of \(\mathsf{ZFA}+\lnot \mathsf{AC} \)partial 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)

Related Items (3)

Some implications of Ramsey choice for families of \(n\)-element sets ⋮ Maximal independent sets, variants of chain/antichain principle and cofinal subsets without AC ⋮ THE RELATION BETWEEN TWO DIMINISHED CHOICE PRINCIPLES

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