# Sh:799

• Matet, P., Rosłanowski, A., & Shelah, S. (2005). Cofinality of the nonstationary ideal. Trans. Amer. Math. Soc., 357(12), 4813–4837.
• Abstract:
We show that the reduced cofinality of the nonstationary ideal NS_\kappa on a regular uncountable cardinal \kappa may be less than its cofinality, where the reduced cofinality of NS_\kappa is the least cardinality of any family F of nonstationary subsets of \kappa such that every nonstationary subset of \kappa can be covered by less than \kappa many members of F.
• Version 2005-02-28_11 (25p) published version (25p)
Bib entry
@article{Sh:799,
author = {Matet, Pierre and Ros{\l}anowski, Andrzej and Shelah, Saharon},
title = {{Cofinality of the nonstationary ideal}},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {357},
number = {12},
year = {2005},
pages = {4813--4837},
issn = {0002-9947},
mrnumber = {2165389},
mrclass = {03E35 (03E05)},
doi = {10.1090/S0002-9947-05-04007-9},
note = {\href{https://arxiv.org/abs/math/0210087}{arXiv: math/0210087}},
arxiv_number = {math/0210087}
}