Spectra of uniformity

Yair Hayut, Asaf Karagila

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    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 languageEnglish
    Pages (from-to)285-298
    Number of pages12
    JournalCommentationes Mathematicae Universitatis Carolinae
    Volume60
    Issue number2
    DOIs
    Publication statusPublished - 2019

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