Covering at limit cardinals of K

被引：0

作者：

Mitchell, William J. ^{[1
]}

Schimmerling, Ernest ^{[2
]}

机构：

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

JOURNAL OF MATHEMATICAL LOGIC | 2024年 / 24卷 / 01期

关键词：

Large cardinals; inner models; core models; cardinal arithmetic; CORE MODEL; SEQUENCES; LEMMA;

D O I：

10.1142/S0219061323500046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that there is no transitive class model of ZFC with a Woodin cardinal. Let nu be a singular ordinal such that nu > omega(2) and cf(nu) < |nu|. Suppose nu is a regular cardinal in K. Then nu is a measurable cardinal in K. Moreover, if cf(nu) > omega, then o(K )(nu) >= cf(nu).

引用

页数：22

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