SOME RESULTS ON THE NONSTATIONARY IDEAL

被引：10

作者：

GITIK, M

机构：

[1] Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Ramat Aviv

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1995年 / 92卷 / 1-3期

关键词：

D O I：

10.1007/BF02762071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The strength of precipitousness, presaturatedness and saturatedness of NSkappa and NSkappalambda is studied. In particular, it is shown that: (1) The exact strength of ''NSmu+lambda for a regular mu > max(lambda, aleph(1))'' is a (omega, mu)-repeat point. (2) The exact strength of ''NSkappa is presaturated over inaccessible kappa'' is an up-repeat point. (3) ''NSkappa is saturated over inaccessible kappa'' implies an inner model with There Exists alpha 0(alpha) = alpha(++).

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页码：61 / 112

页数：52

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