Strong tree properties for two successive cardinals

被引：5
|
作者：
Fontanella, Laura [1 ]
机构：
[1] Univ Paris Diderot, IMJ, CNRS, UMR 7586, F-75205 Paris, France
来源：
ARCHIVE FOR MATHEMATICAL LOGIC | 2012年 / 51卷 / 5-6期
关键词：
Tree property; Large cardinals; Forcing;
D O I：
10.1007/s00153-012-0285-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An inaccessible cardinal kappa is supercompact when (kappa, lambda)-ITP holds for all lambda >= kappa. We prove that if there is a model of ZFC with two supercompact cardinals, then there is a model of ZFC where simultaneously (N-2, mu)-ITP and (N-3, mu')-ITP hold, for all mu >= N-2 and mu' >= N-3.
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页码：601 / 620
页数：20
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