Spectra of uniformity

Yair Hayut, Asaf Karagila

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageAmerican English
Pages (from-to)285-298
Number of pages14
JournalCommentationes Mathematicae Universitatis Carolinae
Issue number2
StatePublished - 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 Charles University, Faculty of Mathematics and Physics.


  • Axiom of choice
  • Measurable cardinal
  • Strongly compact cardinal
  • Uniform ultrafilter


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