Nowhere precipitousness of the non-stationary ideal over

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Journal of Mathematical Logic 2 (01):81-89 (2002)
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Abstract

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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10.1142/s021906130200014x

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Citations of this work

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References found in this work

[Omnibus Review].Akihiro Kanamori - 1981 - Journal of Symbolic Logic 46 (4):864-866.
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
An ideal game.F. Galvin, T. Jech & M. Magidor - 1978 - Journal of Symbolic Logic 43 (2):284-292.
Nonsplitting subset of κ.Moti Gitik - 1985 - Journal of Symbolic Logic 50 (4):881-894.
Nowhere precipitousness of some ideals.Yo Matsubara & Masahiro Shioya - 1998 - Journal of Symbolic Logic 63 (3):1003-1006.

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