Supercompactness and measurable limits of strong cardinals

DOI10.2307/2695033zbMath0989.03053OpenAlexW1979371323MaRDI QIDQ2747707

Arthur W. Apter

Publication date: 14 July 2002

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

Full work available at URL: https://doi.org/10.2307/2695033

zbMATH Keywords

strong cardinalssupercompact cardinalssupercompactnessMenas-type results

Mathematics Subject Classification ID

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

Related Items (3)

Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness ⋮ Some structural results concerning supercompact cardinals ⋮ Indestructibility under adding Cohen subsets and level by level equivalence

Cites Work

• On certain indestructibility of strong cardinals and a question of Hajnal
• Some new upper bounds in consistency strength for certain choiceless large cardinal patterns
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Destruction or preservation as you like it
• Measurable cardinals and the continuum hypothesis
• Adding closed cofinal sequences to large cardinals
• Gap Forcing: Generalizing the Lévy-Solovay Theorem
• Menas’ Result is Best Possible
• Small forcing creates neither strong nor Woodin cardinals
• On the strong equality between supercompactness and strong compactness

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