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).
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页数：22
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