Cofinality of the nonstationary ideal

by Matet and Roslanowski and Shelah. [MRSh:799]
Transactions American Math Soc, 2005
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 .


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