The ineffable tree property and failure of the singular cardinals hypothesis

DOI10.1090/tran/8110zbMath1481.03051OpenAlexW3015076315MaRDI QIDQ3298985

Menachem Magidor, Spencer Unger, James Cummings, Dima Sinapova, Itay Neeman, Yair Hayut

Publication date: 17 July 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8110

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Cites Work

• The combinatorial essence of supercompactness
• On the consistency strength of the proper forcing axiom
• A model of Cummings and Foreman revisited
• A family of covering properties
• The tree property
• The super tree property at the successor of a singular
• The tree property at ℵ_ω+1
• THE TREE PROPERTY UP TO א_ω+1
• ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS
• Combinatorial Characterization of Supercompact Cardinals
• Strong tree properties for small cardinals
• On SCH and the approachability property

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