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

页码：224 / 246

页数：23

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