# Spectra of uniformity

Commentationes Mathematicae Universitatis Carolinae (2019)

- Volume: 60, Issue: 2, page 285-298
- ISSN: 0010-2628

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topHayut, Yair, and Karagila, Asaf. "Spectra of uniformity." Commentationes Mathematicae Universitatis Carolinae 60.2 (2019): 285-298. <http://eudml.org/doc/294641>.

@article{Hayut2019,

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.},

author = {Hayut, Yair, Karagila, Asaf},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {uniform ultrafilter; axiom of choice; measurable cardinal; strongly compact cardinal},

language = {eng},

number = {2},

pages = {285-298},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Spectra of uniformity},

url = {http://eudml.org/doc/294641},

volume = {60},

year = {2019},

}

TY - JOUR

AU - Hayut, Yair

AU - Karagila, Asaf

TI - Spectra of uniformity

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2019

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 60

IS - 2

SP - 285

EP - 298

AB - 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.

LA - eng

KW - uniform ultrafilter; axiom of choice; measurable cardinal; strongly compact cardinal

UR - http://eudml.org/doc/294641

ER -

## References

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