Galvin's Conjecture and Weakly Precipitous Ideals
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916635926855680 |
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| author | Eisworth, Todd |
| author_facet | Eisworth, Todd |
| contents | We investigate a combinatorial game on $ω_1$ and show that mild large cardinal assumptions imply that every normal ideal on $ω_1$ satisfies a weak version of precipitousness. As an application, we show that that the Raghavan-Todorčević proof of a longstanding conjecture of Galvin (done assuming the existence of a Woodin cardinal) can be pushed through under much weaker large cardinal assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07369 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Galvin's Conjecture and Weakly Precipitous Ideals Eisworth, Todd Logic 03E02, 03E55 We investigate a combinatorial game on $ω_1$ and show that mild large cardinal assumptions imply that every normal ideal on $ω_1$ satisfies a weak version of precipitousness. As an application, we show that that the Raghavan-Todorčević proof of a longstanding conjecture of Galvin (done assuming the existence of a Woodin cardinal) can be pushed through under much weaker large cardinal assumptions. |
| title | Galvin's Conjecture and Weakly Precipitous Ideals |
| topic | Logic 03E02, 03E55 |
| url | https://arxiv.org/abs/2307.07369 |