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Cofinality of normal ideals on P_κ(λ), I

Pierre Matet·Cédric Péan·Saharon Shelah
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Abstract

Given an ordinal delta <= lambda and a cardinal theta <= kappa, an ideal J on P_kappa(lambda) is said to be [delta]^{<theta}-normal if given B_e in J for e in P_theta(delta), the set of all a in P_kappa(lambda) such that a in B_e for some e in P_{|a cap theta|}(a cap delta) lies in J. We give necessary and sufficient conditions for the existence of such ideals and we describe the least one and we compute its cofinality.

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Pierre Matet, Cédric Péan, Saharon Shelah. 2004-04-18. Cofinality of normal ideals on P_κ(λ), I. https://arxiv.org/abs/math/0404318

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