The tree property at ℵω+1

DOI10.2178/jsl/1327068703zbMath1270.03104OpenAlexW2047829241MaRDI QIDQ2915899

Dima Sinapova

Publication date: 19 September 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1344862168

Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (13)

Aronszajn trees and the successors of a singular cardinal ⋮ THE TREE PROPERTY AT AND ⋮ STATIONARY REFLECTION AND THE FAILURE OF THE SCH ⋮ On weak square, approachability, the tree property, and failures of SCH in a choiceless context ⋮ Forcing with sequences of models of two types ⋮ The ineffable tree property and failure of the singular cardinals hypothesis ⋮ Fragility and indestructibility. II ⋮ The tree property at the first and double successors of a singular ⋮ The tree property at the successor of a singular limit of measurable cardinals ⋮ Diagonal supercompact Radin forcing ⋮ The tree property at the \(\aleph_{2 n}\)'s and the failure of SCH at \(\aleph_\omega\) ⋮ Successive failures of approachability ⋮ DESTRUCTIBILITY OF THE TREE PROPERTY AT ${\aleph _{\omega + 1}}$

Cites Work

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• The tree property at successors of singular cardinals
• The spectrum of the \(\Gamma\)-invariant of a bilinear space
• Canonical structure in the universe of set theory. I
• Canonical structure in the universe of set theory. II.
• SQUARES, SCALES AND STATIONARY REFLECTION
• Diagonal Prikry extensions
• ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS
• Reflecting stationary sets
• On SCH and the approachability property

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