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Cardinal preserving ideals
Journal of Symbolic Logic 64 (4):1527-1551 (1999)
Abstract
We give some general criteria, when κ-complete forcing preserves largeness properties-like κ-presaturation of normal ideals on λ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength "NS λ is ℵ 1 -preserving". for λ > ℵ 2Links
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Citations of this work
The weakly compact reflection principle need not imply a high order of weak compactness.Brent Cody & Hiroshi Sakai - 2020 - Archive for Mathematical Logic 59 (1-2):179-196.
The consistency strength of hyperstationarity.Joan Bagaria, Menachem Magidor & Salvador Mancilla - 2019 - Journal of Mathematical Logic 20 (1):2050004.
References found in this work
Some exact equiconsistency results in set theory.Leo Harrington & Saharon Shelah - 1985 - Notre Dame Journal of Formal Logic 26 (2):178-188.
The negation of the singular cardinal hypothesis from o(K)=K++.Moti Gitik - 1989 - Annals of Pure and Applied Logic 43 (3):209-234.
Some notes on iterated forcing with $2^{\aleph0}>\aleph2$. [REVIEW]Saharon Shelah - 1987 - Notre Dame Journal of Formal Logic 29 (1):1-17.
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