paper

Shelah Ultrafilters

arXiv:2512.08081

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.

21 pages

Shelah Ultrafilters · wovepaper