Some applications of Sargsyan's equiconsistency method

被引：4

作者：

Apter, Arthur W. ^{[1
,2
]}

机构：

[1] CUNY Bernard M Baruch Coll, Dept Math, New York, NY 10010 USA

[2] CUNY Grad Ctr, New York, NY 10016 USA

来源：

FUNDAMENTA MATHEMATICAE | 2012年 / 216卷 / 03期

关键词：

indestructibility; equiconsistency; measurable cardinal; tall cardinal; strong cardinal; hyperstrong cardinal; strongly compact cardinal; supercompact cardinal; hypercompact cardinal; almost huge cardinal; core model; INDESTRUCTIBILITY; CARDINALS; THEOREM;

D O I：

10.4064/fm216-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply techniques due to Sargsyan to reduce the consistency strength of the assumptions used to establish an indestructibility theorem for supercoinpactness. We then show how these and additional techniques due to Sargsyan may be employed to establish an equiconsistency for a related indestructibility theorem for strongness.

引用

页码：207 / 222

页数：16

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