Magidor cardinals
2018 Volume 70 Issue 1 Pages 1-23
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2018 Volume 70 Issue 1 Pages 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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Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
Tokyo Sugaku-Butsurigaku Kwai Kiji
