Stationary reflection principles and two cardinal tree properties

DOI10.1017/S1474748013000315zbMath1386.03066arXiv1301.7528OpenAlexW2007561054MaRDI QIDQ2937357

Hiroshi Sakai, Boban Velickovic

Publication date: 9 January 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7528

zbMATH Keywords

reflectionlarge cardinalstree propertystationary sets

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Related Items (5)

Strong Chang’s Conjecture, Semi-Stationary Reflection, the Strong Tree Property and two-cardinal square principles ⋮ Strong Chang's conjecture and the tree property at \(\omega_{2}\) ⋮ Rado’s Conjecture and its Baire version ⋮ Forcing axioms via ground model interpretations ⋮ Simple proofs of SCH from reflection principles without using better scales

Cites Work

• Unnamed Item
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• On the consistency strength of the proper forcing axiom
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• On the size of closed unbounded sets
• Semiproper forcing axiom implies Martin maximum but not PFA⁺
• Semistationary and stationary reflection
• Strong compactness and stationary sets

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