Some weak fragments of Martin's axiom related to the rectangle refining property

DOI10.1007/S00153-008-0075-5zbMath1153.03038OpenAlexW1964330699WikidataQ114018329 ScholiaQ114018329MaRDI QIDQ937215

Teruyuki Yorioka

Publication date: 20 August 2008

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

Full work available at URL: http://hdl.handle.net/10297/2406

zbMATH Keywords

Martin's axiom and its fragmentsThe rectangle refining property

Mathematics Subject Classification ID

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

Related Items (6)

Two chain conditions and their Todorčević's fragments of Martin's axiom ⋮ The relative strengths of fragments of Martin's axiom ⋮ 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 ⋮ MAD families and strategically bounding forcings

Cites Work

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• Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals
• The diamond principle for the uniformity of the meager ideal implies the existence of a destructible gap
• Chain conditions in maximal models
• Katetov’s problem
• Between Martin's Axiom and Souslin's Hypothesis
• Partition Problems in Topology
• Embedding Trees in the Rationals

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