THE TREE PROPERTY AT Nω+1

被引：14
|
作者：
Sinapova, Dima [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
JOURNAL OF SYMBOLIC LOGIC | 2012年 / 77卷 / 01期
关键词：
CANONICAL STRUCTURE; SET-THEORY; UNIVERSE;
D O I：
10.2178/jsl/1327068703
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that given omega many supercompact cardinals, there is a generic extension in which there are no Aronszajn trees at N omega+1. This is an improvement of the large cardinal assumptions. The previous hypothesis was a huge cardinal and a many supercompact cardinals above it, in Magidor-Shelah [7].
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页码：279 / 290
页数：12
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