Some results on the nonstationary ideal

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The strength of precipitousness, presaturatedness and saturatedness of NSκ and NS κ λ is studied. In particular, it is shown that: (1) The exact strength of " {Mathematical expression} for a regular μ > max(λ, א1)" is a (ω,μ)-repeat point. (2) The exact strength of "NSκ is presaturated over inaccessible κ" is an up-repeat point. (3) "NSκ is saturated over inaccessible κ" implies an inner model with ∃αo(α) =α ++.

Original languageEnglish
Pages (from-to)61-112
Number of pages52
JournalIsrael Journal of Mathematics
Issue number1-3
StatePublished - Feb 1995


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