We study some limitations and possible occurrences of uniform ultra- filters 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||American English|
|Number of pages||14|
|Journal||Commentationes Mathematicae Universitatis Carolinae|
|State||Published - 2019|
Bibliographical notePublisher Copyright:
© 2019 Charles University, Faculty of Mathematics and Physics.
- Axiom of choice
- Measurable cardinal
- Strongly compact cardinal
- Uniform ultrafilter