Patterns of compact cardinals

DOI10.1016/S0168-0072(97)80001-2zbMath0890.03026arXivmath/9903010OpenAlexW2092747348MaRDI QIDQ1377623

Arthur W. Apter

Publication date: 29 June 1998

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903010

zbMATH Keywords

consistencysupercompact cardinalsmeasurable cardinalsstrongly compact cardinals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (9)

The least measurable can be strongly compact and indestructible ⋮ Failures of SCH and level by level equivalence ⋮ Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness ⋮ Some structural results concerning supercompact cardinals ⋮ Identity crises and strong compactness ⋮ The lottery preparation ⋮ On measurable limits of compact cardinals ⋮ A note on tall cardinals and level by level equivalence ⋮ Forcing the Least Measurable to Violate GCH

Cites Work

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• On strong compactness and supercompactness
• How large is the first strongly compact cardinal? or a study on identity crises
• Strong axioms of infinity and elementary embeddings
• On the compactness of ℵ₁ and ℵ₂
• The least measurable can be strongly compact and indestructible
• Menas’ Result is Best Possible
• More on the Least Strongly Compact Cardinal
• Laver indestructibility and the class of compact cardinals
• On the First n Strongly Compact Cardinals
• On the strong equality between supercompactness and strong compactness

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