L(R) with determinacy satisfies the Suslin hypothesis

被引：6

作者：

Chan, William ^{[1
]}

Jackson, Stephen ^{[1
]}

机构：

[1] Univ North Texas, Dept Math, Denton, TX 76203 USA

来源：

ADVANCES IN MATHEMATICS | 2019年 / 346卷

关键词：

Determinacy; Suslin lines; Vopenka forcing;

D O I：

10.1016/j.aim.2019.02.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Suslin hypothesis states that there are no nonseparable complete dense linear orderings without endpoints which have the countable chain condition. ZF + AD(+) + V = L(P(R)) proves the Suslin hypothesis. In particular, if L(R) satisfies AD, then L(R) satisfies the Suslin hypothesis, which answers a question of Foreman. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：305 / 328

页数：24

共 17 条

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