Magidor cardinals
2018 年 70 巻 1 号 p. 1-23
詳細
2018 年 70 巻 1 号 p. 1-23
We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of ℵ0-bounded subsets. Unlike Jónsson cardinals which appear at some low level of large cardinals, we prove the consistency of having quite large cardinals along with the fact that no Magidor cardinal exists.
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