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The nonstationary ideal on Pκ(lambda) for lambda singular

Pierre Matet, Saharon Shelah

math.LOarXiv:math/0612246

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 Pkappa (lambda) and use this to prove that the nonstationary ideal on Pkappa (lambda) is nowhere precipitous.

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