Cardinal preserving ideals

Moti Gitik*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1527-1551
Number of pages25
JournalJournal of Symbolic Logic
Issue number4
StatePublished - Dec 1999


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