On stable Kim-forking and rosy theories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908761963102208 |
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| author | Miguel-Gómez, Alberto |
| author_facet | Miguel-Gómez, Alberto |
| contents | We provide a partial answer to a question asked independently by Kim and d'Elbée and show that, under the assumption of the stable Kim-forking conjecture, every $\mathrm{NSOP}_1$ rosy theory must be simple. We also prove that the theory of a Frobenius field has stable Kim-forking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23936 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On stable Kim-forking and rosy theories Miguel-Gómez, Alberto Logic 03C45, 03C60 We provide a partial answer to a question asked independently by Kim and d'Elbée and show that, under the assumption of the stable Kim-forking conjecture, every $\mathrm{NSOP}_1$ rosy theory must be simple. We also prove that the theory of a Frobenius field has stable Kim-forking. |
| title | On stable Kim-forking and rosy theories |
| topic | Logic 03C45, 03C60 |
| url | https://arxiv.org/abs/2503.23936 |