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].

引用

页码：279 / 290

页数：12

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