Cofinality of normal ideals on P_\kappa(\lambda), I
逻辑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0404318,
title = {Cofinality of normal ideals on P_\kappa(\lambda), I},
author = {Pierre Matet and Cédric Péan and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0404318},
year = {2007}
}