The nonstationary ideal on P_κ(lambda) for lambda singular

2006/12/09 by Pierre Matet, Saharon Shelah, Matet, Pierre +1
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.math/0612246

published as Arch. Math. Logic 56 No. 7-8 (2017) 911--934

arxiv created 2006/12/09 · arxiv updated 2009/12/01

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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