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.

引用

页数：28

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