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arXiv:math/0102045 [math.LO]AbstractReferencesReviewsResources

Nowhere precipitousness of the non-stationary ideal over P_kappa(lambda)

Yo Matsubara, Saharon Shelah

Published 2001-02-06Version 1

We prove that if lambda is a strong limit singular cardinal and kappa a regular uncountable cardinal < lambda, then NS_{kappa lambda}, the non-stationary ideal over P_{kappa} lambda, is nowhere precipitous. We also show that under the same hypothesis every stationary subset of P_{kappa} lambda can be partitioned into lambda^{< kappa} disjoint stationary sets.

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