Sh:758

• Matsubara, Y., & Shelah, S. (2002). Nowhere precipitousness of the non-stationary ideal over \mathcal P_{\kappa}\lambda. J. Math. Log., 2(1), 81–89. arXiv: math/0102045 DOI: 10.1142/S021906130200014X MR: 1900548
• Abstract:
  We prove that if \lambda is a strong limit singular cardinal and \kappa a regular uncountable cardinal <\lambda, then NS_{\kappa\lambda}, the non-stationary ideal over {\mathcal P}_{\kappa}\lambda, is nowhere precipitous. We also show that under the same hypothesis every stationary subset of {\mathcal P}_{\kappa}\lambda can be partitioned into \lambda^{< \kappa} disjoint stationary sets.
• Version 2001-12-13_10 (8p) published version (9p)

@article{Sh:758,
 author = {Matsubara, Y{\={o}} and Shelah, Saharon},
 title = {{Nowhere precipitousness of the non-stationary ideal over $\mathcal P_{\kappa}\lambda$}},
 journal = {J. Math. Log.},
 fjournal = {Journal of Mathematical Logic},
 volume = {2},
 number = {1},
 year = {2002},
 pages = {81--89},
 issn = {0219-0613},
 mrnumber = {1900548},
 mrclass = {03E55 (03E40)},
 doi = {10.1142/S021906130200014X},
 note = {\href{https://arxiv.org/abs/math/0102045}{arXiv: math/0102045}},
 arxiv_number = {math/0102045}
}