Abstract
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the axiom of choice. We prove an Easton-like theorem about the possible spectrum of successors of regular cardinals which carry uniform ultrafilters; we also show that this spectrum is not necessarily closed.
| Original language | English |
|---|---|
| Pages (from-to) | 287-300 |
| Number of pages | 14 |
| Journal | Commentationes Mathematicae Universitatis Carolinae |
| Volume | 60 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 |
Austrian Fields of Science 2012
- 101013 Mathematical logic
Keywords
- AXIOMS
- measurable cardinal
- strongly compact cardinal
- MODEL
- uniform ultra filter
- axiom of choice
- Uniform ultrafilter
- Axiom of choice
- Measurable cardinal
- Strongly compact cardinal
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