On ?-Strongly Measurable Cardinals

被引：3
|
作者：
Ben-Neria, Omer [1 ]
Hayut, Yair [1 ]
机构：
[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel
来源：
FORUM OF MATHEMATICS SIGMA | 2023年 / 11卷
基金：
以色列科学基金会;
关键词：
03E45; 03E35; 03E55; MODELS;
D O I：
10.1017/fms.2023.15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove several consistency results concerning the notion of omega-strongly measurable cardinal in HOD. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than o(K) = K, that every successor of a regular cardinal is omega-strongly measurable in HOD.
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页数：28
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