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
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.
引用
收藏
页码:317 / 333
页数:17
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