The tree property at ℵω+1

DOI10.2178/jsl/1327068703zbMath1243.03066OpenAlexW2047829241MaRDI QIDQ5388730

Dima Sinapova

Publication date: 19 April 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1327068703

zbMATH Keywords

supercompact cardinaltree propertygood scale

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items

Suslin trees, the bounding number, and partition relations, Aronszajn trees and the successors of a singular cardinal, The super tree property at the successor of a singular, SQUARES AND NARROW SYSTEMS, The tree property below \(\aleph_{\omega \cdot 2}\), THE EIGHTFOLD WAY, The definable tree property for successors of cardinals, The tree property at the successor of a singular limit of measurable cardinals, REFLECTION OF STATIONARY SETS AND THE TREE PROPERTY AT THE SUCCESSOR OF A SINGULAR CARDINAL, Successive failures of approachability, The tree property at both ℵ_ω+1and ℵ_ω+2

Cites Work

• Unnamed Item
• The tree property at successors of singular cardinals
• 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
• On SCH and the approachability property