Magidor cardinals

Shimon Garti*, Yair Hayut

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of ?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.

Original languageAmerican English
Pages (from-to)1-23
Number of pages23
JournalJournal of the Mathematical Society of Japan
Issue number1
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 The Mathematical Society of Japan.


  • Jónsson cardinals
  • Magidor cardinals
  • Quilshon principles
  • Square
  • large cardinals


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