Magidor cardinals

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.

References in corpus (1)

• On the verge of inconsistency: Magidor cardinals and Magidor filters

Cited by in corpus (2)

• On the verge of inconsistency: Magidor cardinals and Magidor filters
• The first omitting cardinal for Magidority