Strong tree properties for small cardinals

DOI10.2178/jsl.7801220zbMath1279.03070arXiv1201.6673OpenAlexW2131611246MaRDI QIDQ4916563

Laura Fontanella

Publication date: 23 April 2013

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

Full work available at URL: https://arxiv.org/abs/1201.6673

zbMATH Keywords

forcinglarge cardinalstree property

Mathematics Subject Classification ID

Large cardinals (03E55)

Related Items (8)

The super tree property at the successor of a singular ⋮ The tree property and the continuum function below ⋮ The ineffable tree property and failure of the singular cardinals hypothesis ⋮ Guessing models and the approachability ideal ⋮ The strong tree property and the failure of SCH ⋮ A model of Cummings and Foreman revisited ⋮ ITP, ISP, AND SCH ⋮ The tree property at both ℵ_ω+1and ℵ_ω+2

Cites Work

• Unnamed Item
• Guessing models and generalized Laver diamond
• Strong tree properties for two successive cardinals
• On the consistency strength of the proper forcing axiom
• On the Hamkins approximation property
• Aronszajn trees on \(\aleph_2\) and \(\aleph_3\).
• Set theory. An introduction to independence proofs
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• The tree property
• Aronszajn trees and the independence of the transfer property
• Some combinatorial problems concerning uncountable cardinals

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