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.

引用

页码：601 / 620

页数：20