Abstract
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 language | English |
|---|---|
| Pages (from-to) | 1-23 |
| Number of pages | 23 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 70 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2018 |
Keywords
- Jónsson cardinals
- Magidor cardinals
- Quilshon principles
- Square
- large cardinals
All Science Journal Classification (ASJC) codes
- General Mathematics
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