DESTRUCTIBILITY OF THE TREE PROPERTY AT ℵω+1

被引：2
|
作者：
Hayut, Yair [1 ]
Magidor, Menachem [1 ]
机构：
[1] Hebrew Univ Jerusalem, Einstein Inst Math, Edmond J Safra Campus, IL-9190401 Jerusalem, Israel
来源：
JOURNAL OF SYMBOLIC LOGIC | 2019年 / 84卷 / 02期
基金：
奥地利科学基金会;
关键词：
tree property; successors of singulars; forcing; SUCCESSORS;
D O I：
10.1017/jsl.2019.4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a model in which the tree property holds in. aleph(omega+1) and it is destructible under Col(omega, omega(1)). On the other hand we discuss some cases in which the tree property is indestructible under small or closed forcings.
引用
收藏
页码：621 / 631
页数：11
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