DESTRUCTIBILITY OF THE TREE PROPERTY AT ${\aleph _{\omega + 1}}$

DOI10.1017/jsl.2019.4zbMath1443.03028arXiv1603.05526OpenAlexW2964258643MaRDI QIDQ5222525

Menachem Magidor, Yair Hayut

Publication date: 6 April 2020

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05526

zbMATH Keywords

forcingtree propertysuccessors of singulars

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (3)

Indestructibility of some compactness principles over models of \(\mathsf{PFA} \) ⋮ INDESTRUCTIBILITY OF THE TREE PROPERTY ⋮ On the ideal \(J[\kappa\)]

Cites Work

• A cofinality-preserving small forcing may introduce a special Aronszajn tree
• Souslin trees and successors of singular cardinals
• The tree property at successors of singular cardinals
• SQUARES, SCALES AND STATIONARY REFLECTION
• The tree property at ℵ_ω+1
• THE TREE PROPERTY UP TO א_ω+1
• SQUARES AND NARROW SYSTEMS

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