Cardinal preserving ideals

DOI10.2307/2586794zbMath0946.03060arXivmath/9605234OpenAlexW2055048166MaRDI QIDQ4948524

Saharon Shelah, M. B. Gitik

Publication date: 22 October 2000

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

Full work available at URL: https://arxiv.org/abs/math/9605234

zbMATH Keywords

non-stationary ideal\(\kappa\)-complete forcing\(\kappa\)-presaturation of a normal ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items

A partition theorem for a large dense linear order ⋮ The consistency strength of hyperstationarity ⋮ The consistency strength of ``every stationary set reflects ⋮ Complete Quotient Boolean Algebras ⋮ The weakly compact reflection principle need not imply a high order of weak compactness ⋮ Forcings with ideals and simple forcing notions ⋮ Stationary cardinals

Cites Work

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• Some exact equiconsistency results in set theory
• Changing cofinalities and the nonstationary ideal
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
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• Some results on the nonstationary ideal. II
• Some results on the nonstationary ideal
• The core model for sequences of measures. I
• Precipitous ideals