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The nonstationary ideal on P_κ(lambda) for lambda singular

Pierre Matet·Saharon Shelah
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Abstract

Let kappa be a regular uncountable cardinal and lambda > kappa a singular strong limit cardinal. We give a new characterization of the nonstationary subsets of P_kappa (lambda) and use this to prove that the nonstationary ideal on P_kappa (lambda) is nowhere precipitous.

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Pierre Matet, Saharon Shelah. 2006-12-09. The nonstationary ideal on P_κ(lambda) for lambda singular. https://arxiv.org/abs/math/0612246

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