Ultrafilters and Large Cardinals

被引：0

作者：

Neeman, Itay ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

ULTRAFILTERS ACROSS MATHEMATICS | 2010年 / 530卷

关键词：

Large cardinals; ultrafilters; forcing; measurable cardinals; supercompact cardinals; Prikry forcing; singular cardinals hypothesis; INDEPENDENCE; HYPOTHESIS; MODEL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a survey of basic large cardinal notions, and applications of large cardinal ultrafilters in forcing The main application presented is the consistent failure of the singular cardinals hypothesis Other applications are mentioned that involve variants of Prikry forcing, over models of choice and models of determinacy

引用

页码：181 / 200

页数：20

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