The tree property at Nω+2 with a finite gap

被引：6
|
作者：
Friedman, Sy-David [1 ]
Honzik, Radek [2 ]
Stejskalova, Sarka [2 ,3 ]
机构：
[1] Kurt Godel Res Ctr Math Log, Wahringer Str 25, A-1090 Vienna, Austria
[2] Charles Univ Prague, Dept Log, Celetna 20, Prague 11642 1, Czech Republic
[3] Inst Math AV CR, Zitna 25, Prague 11567 1, Czech Republic
来源：
FUNDAMENTA MATHEMATICAE | 2020年 / 251卷 / 03期
关键词：
the tree property; the singular cardinal hypothesis;
D O I：
10.4064/fm866-2-2020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let n be a natural number, 2 <= n < omega. We show that it is consistent to have a model of set theory where N-omega is strong limit, 2(N omega) = N omega+n and the tree property holds at N omega+2; we use a hypermeasurable cardinal of an appropriate degree and a variant of the Mitchell forcing followed by the Prikry forcing with collapses.
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页码：219 / 244
页数：26
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