A small ultrafilter number at smaller cardinals
Logic
2019-04-05 v1
Abstract
It is proved to be consistent relative to a measurable cardinal that there is a uniform ultrafilter on the real numbers which is generated by fewer than the maximum possible number of sets. It is also shown to be consistent relative to a supercompact cardinal that there is a uniform ultrafilter on which is generated by fewer than sets.
Keywords
Cite
@article{arxiv.1904.02379,
title = {A small ultrafilter number at smaller cardinals},
author = {Dilip Raghavan and Saharon Shelah},
journal= {arXiv preprint arXiv:1904.02379},
year = {2019}
}
Comments
8 pages. Submitted