Uniformizing ladder system colorings and the rectangle refining property

DOI10.1090/S0002-9939-10-10330-XzbMath1200.03039MaRDI QIDQ3581117

Teruyuki Yorioka

Publication date: 16 August 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

forcing notionsrectangle refining propertyfragments of Martin's axiomuniformization of ladder system colorings

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items (4)

Two chain conditions and their Todorčević's fragments of Martin's axiom ⋮ Forcing the mapping reflection principle by finite approximations ⋮ A note on a forcing related to the S‐space problem in the extension with a coherent Suslin tree ⋮ Keeping the covering number of the null ideal small

Cites Work

• A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees
• Some weak fragments of Martin's axiom related to the rectangle refining property
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Chain conditions in maximal models
• Katetov’s problem
• Locally compact perfectly normal spaces may all be paracompact
• Rudin's Dowker space in the extension with a Suslin tree
• Partition Problems in Topology
• ωι-Sonslin trees under countable support iterations
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