Journal of the Mathematical Society of Japan

Magidor cardinals

Shimon GARTI and Yair HAYUT

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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.

Article information

Source
J. Math. Soc. Japan, Volume 70, Number 1 (2018), 1-23.

Dates
First available in Project Euclid: 26 January 2018

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1516957217

Digital Object Identifier
doi:10.2969/jmsj/07017327

Mathematical Reviews number (MathSciNet)
MR3750266

Zentralblatt MATH identifier
06859842

Subjects
Primary: 03E55: Large cardinals

Keywords
large cardinals square and quilshon principles Jónsson cardinals Magidor cardinals

Citation

GARTI, Shimon; HAYUT, Yair. Magidor cardinals. J. Math. Soc. Japan 70 (2018), no. 1, 1--23. doi:10.2969/jmsj/07017327. https://projecteuclid.org/euclid.jmsj/1516957217


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