The extent of strength in the club filters |
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| Authors: | Douglas R Burke Yo Matsubara |
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| Institution: | (1) Department of Mathematics, University of Nevada, 89154-4020 Las Vegas, NV, USA;(2) School of Informatics and Sciences, Nagoya University, 464-8601 Nagoya, Japan |
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| Abstract: | In this paper we consider whether the minimal normal filter onP
κλ, the club filter, can have strong properties like saturation, pre-saturation, 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
caseκ =λ = ℵ1—and in this case saturation is known to be consistent).
The first author was partially supported by NSF grant DMS-9626212. |
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