Stationary preserving ideals over Pκλ

被引：3

作者：

Matsubara, Y ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Informat Sci, Chikusa Ku, Nagoya, Aichi 4648601, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2003年 / 55卷 / 03期

关键词：

forcing; large cardinals;

D O I：

10.2969/jmsj/1191419004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the properties of ideals such that their corresponding partial orders preserve stationarity. We show that these ideals exhibit many large cardinal-like consequences. We also prove the existence of a certain non-reflecting stationary subset of P(kappa)lambda under some hypotheses.

引用

页码：827 / 835

页数：9

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