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Publication:1295367
DOI10.1016/S0168-0072(97)00044-4zbMath0949.03047arXiv1607.00683MaRDI QIDQ1295367
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
fragilityindestructibilitysupercompact cardinalgap forcingpartial Laver preparationsuperdestructibility hierarchy
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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