n-dependent continuous theories and hyperdefinable sets
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914816530055168 |
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| author | Fernández, Adrián Portillo |
| author_facet | Fernández, Adrián Portillo |
| contents | We define the continuous modeling property for first-order structures and show that a first-order structure has the continuous modelling property if and only if its age has the embedding Ramsey property. We use generalized indiscernible sequences in continuous logic to study and characterize $n$-dependence for continuous theories and first-order hyperdefinable sets in terms of the collapse of indiscernible sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19830 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | n-dependent continuous theories and hyperdefinable sets Fernández, Adrián Portillo Logic 03C45 We define the continuous modeling property for first-order structures and show that a first-order structure has the continuous modelling property if and only if its age has the embedding Ramsey property. We use generalized indiscernible sequences in continuous logic to study and characterize $n$-dependence for continuous theories and first-order hyperdefinable sets in terms of the collapse of indiscernible sequences. |
| title | n-dependent continuous theories and hyperdefinable sets |
| topic | Logic 03C45 |
| url | https://arxiv.org/abs/2405.19830 |