HOD, V AND THE GCH

被引：0
|
作者：
Golshani, Mohammad [1 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
JOURNAL OF SYMBOLIC LOGIC | 2017年 / 82卷 / 01期
关键词：
HOD; GCH; strong cardinal; extender based Radin forcing;
D O I：
10.1017/jsl.2015.82
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Starting from large cardinals we construct a model of ZFC in which the GCH fails everywhere, but such that GCH holds in its HOD. The result answers a question of Sy Friedman. Also, relative to the existence of large cardinals, we produce a model of ZFC + GCH such that GCH fails everywhere in its HOD.
引用
收藏
页码：224 / 246
页数：23
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