The tree property at the double successor of a singular cardinal with a larger gap

DOI10.1016/j.apal.2018.02.002zbMath1387.03036OpenAlexW2791087790MaRDI QIDQ1709684

Šárka Stejskalová, Sy-David Friedman, Radek Honzík

Publication date: 6 April 2018

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.2018.02.002

zbMATH Keywords

tree propertysingular strong limit cardinalcountable cofinality

Mathematics Subject Classification ID

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

Related Items

The tree property at double successors of singular cardinals of uncountable cofinality ⋮ INDESTRUCTIBILITY OF THE TREE PROPERTY ⋮ The tree property at $\aleph _{\omega +2}$ with a finite gap ⋮ The tree property at double successors of singular cardinals of uncountable cofinality with infinite gaps ⋮ Easton's theorem for the tree property below \(\aleph_\omega\) ⋮ The tree property at first and double successors of singular cardinals with an arbitrary gap

Cites Work

• Aronszajn trees and the successors of a singular cardinal
• An Easton like theorem in the presence of Shelah cardinals
• Aronszajn trees on \(\aleph_2\) and \(\aleph_3\).
• The tree property
• The tree property at double successors of singular cardinals of uncountable cofinality
• The tree property at the double successor of a measurable cardinal κ with 2^κlarge
• The tree property at ℵ_ω+2
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