Magidor cardinals

作者:Garti Shimon*; Hayut Yair
来源:Journal of the Mathematical Society of Japan, 2018, 70(1): 1-23.
DOI:10.2969/jmsj/07017327

摘要

We define Magidor cardinals as Jonsson cardinals upon replacing colorings of finite subsets by colorings of N-0-bounded subsets. Unlike Jonsson 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.

  • 出版日期2018-1