A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees

DOI10.1016/j.apal.2009.02.006zbMath1225.03064OpenAlexW2097991967WikidataQ114016297 ScholiaQ114016297MaRDI QIDQ636286

Teruyuki Yorioka

Publication date: 26 August 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10297/4783

zbMATH Keywords

Martin's axiom\((\omega _{1}\omega _{1})\)-gapsadding no random realsentangled sets of realsnon-special Aronszajn treesunbounded families

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

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Two chain conditions and their Todorčević's fragments of Martin's axiom ⋮ The relative strengths of fragments of Martin's axiom ⋮ A correction to ``A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees ⋮ Uniformizing ladder system colorings and the rectangle refining property ⋮ Forcing the mapping reflection principle by finite approximations ⋮ Keeping the covering number of the null ideal small

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