STRONG TREE PROPERTIES FOR SMALL CARDINALS

被引：9
|
作者：
Fontanella, Laura [1 ]
机构：
[1] Univ Paris 07, IMJ, Equipe Log Math, UFR Math Case 7012, F-75205 Paris 13, France
来源：
JOURNAL OF SYMBOLIC LOGIC | 2013年 / 78卷 / 01期
关键词：
tree property; large cardinals; forcing;
D O I：
10.2178/jsl.7801220
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 infinitely many supercompact cardinals, then there is a model of ZFC where for every n >= 2 and mu >= aleph(n), we have (aleph(n), mu)-ITP.
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页码：317 / 333
页数：17
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