Splitting P κλ into stationary subsets

Journal of Symbolic Logic 53 (2):385-389 (1988)
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Abstract

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

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10.1017/s0022481200028322

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On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
Menas' conjecture and generic ultrapowers.Yo Matsubara - 1987 - Annals of Pure and Applied Logic 36:225-234.

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