# 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.
• 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.
• published version (9p)
Bib entry
@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}
}