On precipitousness of the nonstationary ideal over a supercompact

DOI10.2307/2274020zbMath0627.03036OpenAlexW2125480109MaRDI QIDQ3030822

M. B. Gitik

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2274020

zbMATH Keywords

generic extensioncore modelsprecipitous idealsconsistency of the nonstationary ideal precipitous over a supercompactexistence of a supercompact cardinalinner model with a repeat pointiteration of distributive forcing notions

Mathematics Subject Classification ID

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

Related Items (1)

Some results on the nonstationary ideal

Cites Work

• The nonstationary ideal on \(\aleph _ 2\)
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• The core model for sequences of measures. I
• On splitting stationary subsets of large cardinals
• Strong axioms of infinity and elementary embeddings
• On sequences generic in the sense of Prikry

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