Guessing models imply the singular cardinal hypothesis

DOI10.1090/PROC/14739zbMath1468.03055arXiv1903.10476OpenAlexW2963013137WikidataQ127617074 ScholiaQ127617074MaRDI QIDQ5238122

John Krueger

Publication date: 28 October 2019

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

Full work available at URL: https://arxiv.org/abs/1903.10476

zbMATH Keywords

approximation propertyguessing modelSCHISPcountable covering propertyinternally unbounded

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (3)

Indestructibility of some compactness principles over models of \(\mathsf{PFA} \) ⋮ Strong tree properties, Kurepa trees, and guessing models ⋮ Guessing models and the approachability ideal

Cites Work

• Guessing models and generalized Laver diamond
• The combinatorial essence of supercompactness
• On the consistency strength of the proper forcing axiom
• A family of covering properties
• NAMBA FORCING, WEAK APPROXIMATION, AND GUESSING
• Set Theory
• ITP, ISP, AND SCH
• The proper forcing axiom and the singular cardinal hypothesis

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