Jonsson and Magidor filters
Logic
2025-03-19 v1
Abstract
We study the filter versions of square bracket partition relations, focusing on Jonssonicity and Magidority. We show that the singular cardinals in a Kleinberg sequence above some strong partition cardinal are not Magidor, but the limit of the sequence is Magidor. This is done under AD. We also force over a model of AD to obtain a singular cardinal carrying a Magidor filter.
Cite
@article{arxiv.2503.13744,
title = {Jonsson and Magidor filters},
author = {Omer Ben-Neria and Shimon Garti},
journal= {arXiv preprint arXiv:2503.13744},
year = {2025}
}