Some results on the nonstationary ideal

Moti Gitik

doi:10.1007/BF02762071

Some results on the nonstationary ideal

Moti Gitik

School of Mathematical Sciences

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

Abstract

The strength of precipitousness, presaturatedness and saturatedness of NS_κ 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 "NS_κ is presaturated over inaccessible κ" is an up-repeat point. (3) "NS_κ is saturated over inaccessible κ" implies an inner model with ∃αo(α) =α⁺⁺.

Original language	English
Pages (from-to)	61-112
Number of pages	52
Journal	Israel Journal of Mathematics
Volume	92
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02762071
State	Published - Feb 1995

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AB - 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 ++.

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Some results on the nonstationary ideal

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