# 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. - 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}, doi = {10.1142/S021906130200014X}, mrclass = {03E55 (03E40)}, mrnumber = {1900548}, mrreviewer = {Douglas R. Burke}, doi = {10.1142/S021906130200014X}, note = {\href{https://arxiv.org/abs/math/0102045}{arXiv: math/0102045}}, arxiv_number = {math/0102045} }