Cardinal preserving ideals

Moti Gitik; Saharon Shelah

doi:10.2307/2586794

Cardinal preserving ideals

Moti Gitik^*, Saharon Shelah

^*Corresponding author for this work

School of Mathematical Sciences

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 N₁-preserving", for λ > N₂.

Original language	English
Pages (from-to)	1527-1551
Number of pages	25
Journal	Journal of Symbolic Logic
Volume	64
Issue number	4
DOIs	https://doi.org/10.2307/2586794
State	Published - Dec 1999

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title = "Cardinal preserving ideals",

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 {"}NSλ is N1-preserving{"}, for λ > N2.",

author = "Moti Gitik and Saharon Shelah",

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Cardinal preserving ideals

Abstract

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