Spectra of uniformity
Logic
2019-10-30 v3
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.
Keywords
Cite
@article{arxiv.1709.04824,
title = {Spectra of uniformity},
author = {Yair Hayut and Asaf Karagila},
journal= {arXiv preprint arXiv:1709.04824},
year = {2019}
}
Comments
Post-refereeing version; 12 pages