Shelah Ultrafilters
Logic
2025-12-10 v1
Abstract
In this paper, we study a special type of ultrafilter which we call Shelah ultrafilter. We show that it is possible to add a Shelah ultrafilter using a special forcing notion. We also show that Shelah ultrafilters turn out to be I-ultrafilters for many Borel ideals.
Keywords
Cite
@article{arxiv.2512.08081,
title = {Shelah Ultrafilters},
author = {Emmanuel Balderas and David Chodounský and Osvaldo Guzmán},
journal= {arXiv preprint arXiv:2512.08081},
year = {2025}
}
Comments
21 pages