Abstract
We characterize the situation of having at least (2κ) +-many normal ultrafilters on a measurable cardinal κ. We also show that if κ is a compact cardinal, then κ carries (2κ) +-many κ-complete ultrafilters, each of which extends the club filter on κ.
| Original language | English |
|---|---|
| Pages (from-to) | 349-357 |
| Number of pages | 9 |
| Journal | Notre Dame Journal of Formal Logic |
| Volume | 55 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jan 2014 |
Keywords
- Club filter
- Compact cardinal
- Measurable cardinal
- Normal measure
All Science Journal Classification (ASJC) codes
- Logic