Jonsson and Magidor filters
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908273034133504 |
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| author | Ben-Neria, Omer Garti, Shimon |
| author_facet | Ben-Neria, Omer Garti, Shimon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jonsson and Magidor filters Ben-Neria, Omer Garti, Shimon Logic 03E55, 03E60 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. |
| title | Jonsson and Magidor filters |
| topic | Logic 03E55, 03E60 |
| url | https://arxiv.org/abs/2503.13744 |