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

页码：621 / 631

页数：11

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