The tree property at the \(\aleph_{2 n}\)'s and the failure of SCH at \(\aleph_\omega\)

DOI10.1016/j.apal.2014.11.009zbMath1371.03065OpenAlexW2047155019MaRDI QIDQ2514849

Sy-David Friedman, Radek Honzík

Publication date: 4 February 2015

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.2014.11.009

zbMATH Keywords

tree propertySacks forcinghypermeasurable-type large cardinal assumption

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other set-theoretic hypotheses and axioms (03E65) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (2)

A Laver-like indestructibility for hypermeasurable cardinals ⋮ Easton's theorem for the tree property below \(\aleph_\omega\)

Cites Work

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• ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS
• Perfect-set forcing for uncountable cardinals
• The tree property at both ℵ_ω+1and ℵ_ω+2
• Aronszajn trees and the independence of the transfer property

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