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

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

2001-02-06

arxiv.org/abs/math/0102045v1

Mathematics

Logic

Scientific paper

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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