Spectra of uniformity
Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 2, pp. 285-298.

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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.
DOI : 10.14712/1213-7243.2019.008
Classification : 03E25, 03E35, 03E55
Keywords: uniform ultrafilter; axiom of choice; measurable cardinal; strongly compact cardinal
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Hayut, Yair; Karagila, Asaf. Spectra of uniformity. Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 2, pp. 285-298. doi : 10.14712/1213-7243.2019.008. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2019.008/

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