Superdestructibility: A dual to Laver's indestructibility

DOI10.2307/2586848zbMath0921.03051arXivmath/9612227OpenAlexW2045710188MaRDI QIDQ4212932

Joel David Hamkins, Saharon Shelah

Publication date: 15 December 1998

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9612227

zbMATH Keywords

forcingstrong compactnesssupercompactnesssuperdestructibilitysmall forcing

Mathematics Subject Classification ID

Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (10)

On the indestructibility aspects of identity crisis ⋮ Unnamed Item ⋮ Fragility and indestructibility. II ⋮ Gap forcing ⋮ Superstrong and other large cardinals are never Laver indestructible ⋮ Strongly compact cardinals and the continuum function ⋮ Destruction or preservation as you like it ⋮ Tall cardinals ⋮ The large cardinals between supercompact and almost-huge ⋮ Large cardinals with few measures

Cites Work

• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Strong compactness and other cardinal sins

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