Nowhere precipitousness of the non-stationary ideal over Pkappa(lambda)
Yo Matsubara, Saharon Shelah
Abstract
We prove that if lambda is a strong limit singular cardinal and kappa a regular uncountable cardinal < lambda, then NSkappa lambda, the non-stationary ideal over Pkappa lambda, is nowhere precipitous. We also show that under the same hypothesis every stationary subset of Pkappa lambda can be partitioned into lambda< kappa disjoint stationary sets.
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