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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.01429 |
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| _version_ | 1866914628238311424 |
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| author | Usvyatsov, Alexander |
| author_facet | Usvyatsov, Alexander |
| contents | We prove that in a theory $T$ stable over a predicate $P$, for any $λ> |T|$, there is a $λ$-prime model over any complete set A with a $λ$-saturated $P$-part. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01429 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability over a predicate and prime closure Usvyatsov, Alexander Logic We prove that in a theory $T$ stable over a predicate $P$, for any $λ> |T|$, there is a $λ$-prime model over any complete set A with a $λ$-saturated $P$-part. |
| title | Stability over a predicate and prime closure |
| topic | Logic |
| url | https://arxiv.org/abs/2401.01429 |