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.

引用

页码：317 / 333

页数：17

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