Posets of copies of countable scattered linear orders

被引：11
|
作者：
Kurilic, Milos S. [1 ]
机构：
[1] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia
来源：
ANNALS OF PURE AND APPLIED LOGIC | 2014年 / 165卷 / 03期
关键词：
Scattered linear order; Isomorphic substructure; Denumerable structure; sigma-closed poset; Forcing;
D O I：
10.1016/j.apal.2013.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the separative quotient of the poset < P(L), subset of > of isomorphic suborders of a countable scattered linear order L is sigma-closed and atomless. So, under the CH, all these posets are forcing-equivalent (to (P(omega)/Fin)(+)). (c) 2013 Elsevier B.V. All rights reserved.
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页码：895 / 912
页数：18
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