The tree property below \(\aleph_{\omega \cdot 2}\)

DOI10.1016/j.apal.2015.12.001zbMath1403.03102OpenAlexW2212158770MaRDI QIDQ904146

Spencer Unger

Publication date: 12 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.apal.2015.12.001

zbMATH Keywords

forcinglarge cardinalstree property

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (5)

THE TREE PROPERTY AT AND ⋮ The tree property at the first and double successors of a singular ⋮ The tree property at double successors of singular cardinals of uncountable cofinality with infinite gaps ⋮ Diagonal supercompact Radin forcing ⋮ Successive failures of approachability

Cites Work

• Aronszajn trees and the successors of a singular cardinal
• Fragility and indestructibility of the tree property
• Scales at \({\aleph_{\omega} }\)
• Aronszajn trees on \(\aleph_2\) and \(\aleph_3\).
• The tree property at successors of singular cardinals
• The tree property
• THE TREE PROPERTY UP TO א_ω+1
• Iterating along a Prikry sequence
• The tree property at ℵ_ω+1
• Powers of regular cardinals
• Aronszajn trees and the independence of the transfer property

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