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Journal Article

Splitting Pκλ into Stationary Subsets

Yo Matsubara
The Journal of Symbolic Logic
Vol. 53, No. 2 (Jun., 1988), pp. 385-389
DOI: 10.2307/2274510
Stable URL: http://www.jstor.org/stable/2274510
Page Count: 5

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We show that if κ is an inaccessible cardinal then Pκλ splits into $\lambda^{<\kappa}$ many disjoint stationary subsets. We also show that if Pκλ carries a strongly saturated ideal then the nonstationary ideal cannot be λ+-saturated.