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  1. The nonstationary ideal on P_kappa for lambda singular.Pierre Matet & Saharon Shelah - 2017 - Archive for Mathematical Logic 56 (7-8):911-934.
    We give a new characterization of the nonstationary ideal on \\) in the case when \ is a regular uncountable cardinal and \ a singular strong limit cardinal of cofinality at least \.
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  • Nowhere precipitousness of the non-stationary ideal over.Yo Matsubara & Saharon Shelah - 2002 - Journal of Mathematical Logic 2 (01):81-89.
    We prove that if λ is a strong limit singular cardinal and κ a regular uncountable cardinal < λ, then NSκλ, the non-stationary ideal over [Formula: see text], is nowhere precipitous. We also show that under the same hypothesis every stationary subset of [Formula: see text] can be partitioned into λκ disjoint stationary sets.
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