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DOI10.1016/S0168-0072(97)00044-4zbMath0949.03047arXiv1607.00683MaRDI QIDQ1295367

Joel David Hamkins

Publication date: 24 June 1999

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

Full work available at URL: https://arxiv.org/abs/1607.00683

zbMATH Keywords

fragilityindestructibilitysupercompact cardinalgap forcingpartial Laver preparationsuperdestructibility hierarchy

Mathematics Subject Classification ID

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

Related Items (12)

Exactly controlling the non-supercompact strongly compact cardinals ⋮ Gap Forcing: Generalizing the Lévy-Solovay Theorem ⋮ Some structural results concerning supercompact cardinals ⋮ The lottery preparation ⋮ On some properties of Shelah cardinals ⋮ Large cardinals need not be large in HOD ⋮ Supercompactness and measurable limits of strong cardinals ⋮ Gap forcing ⋮ On measurable limits of compact cardinals ⋮ Tall cardinals ⋮ The large cardinals between supercompact and almost-huge ⋮ Indestructibility and the level-by-level agreement between strong compactness and supercompactness

Cites Work

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• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Superdestructibility: A dual to Laver's indestructibility
• Fragile measurability
• Canonical seeds and Prikry trees
• Small forcing makes any cardinal superdestructible
• Laver indestructibility and the class of compact cardinals

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