The extent of strength in the club filters

Authors
Burke, DR Matsubara, Y
Citation
Dr. Burke et Y. Matsubara, The extent of strength in the club filters, ISR J MATH, 114, 1999, pp. 253-263
Citations number
20
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
114
Year of publication
1999
Pages
253 - 263
Database
ISI
SICI code
0021-2172(1999)114:<253:TEOSIT>2.0.ZU;2-E
Abstract
In this paper we consider whether the minimal normal filter on P(kappa)lamb da, the club filter, can have strong properties like saturation, pre-satura tion, or cardinal preserving. We prove in a number of cases that the answer is no. In the case of saturation, Foreman and Magidor prove the answer is always no (except in the case kappa = lambda = aleph(1)-and in this case sa turation is known to be consistent).