Ultrafilters in the random real model
Logic
2025-09-18 v2
Abstract
We prove that \textsf{P}-points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than -many random reals to a model of \textsf{CH. }These results improve and correct previous theorems that can be found in the literature.
Keywords
Cite
@article{arxiv.2507.08346,
title = {Ultrafilters in the random real model},
author = {Alan Dow and Osvaldo Guzmán},
journal= {arXiv preprint arXiv:2507.08346},
year = {2025}
}