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arXiv · 2503.13744

Jonsson and Magidor filters

Omer Ben-Neria·Shimon Garti
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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.

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Omer Ben-Neria, Shimon Garti. 2025-03-17. Jonsson and Magidor filters. https://arxiv.org/abs/2503.13744

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