Abstract
We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of $\aleph_0$-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.
Citation
Shimon GARTI. Yair HAYUT. "Magidor cardinals." J. Math. Soc. Japan 70 (1) 1 - 23, January, 2018. https://doi.org/10.2969/jmsj/07017327
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