Some model-theoretic consequences of high-arity uniform convergence, part I
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918493969973248 |
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| author | Coregliano, Leonardo N. Malliaris, Maryanthe |
| author_facet | Coregliano, Leonardo N. Malliaris, Maryanthe |
| contents | We show that certain families of sets in $\mathbb{R}^2$ (or $\mathbb{R}^n$) which are neither definable nor have bounded VC-dimension are nonetheless uniformly approximately definable in the real field, an o-minimal structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09911 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some model-theoretic consequences of high-arity uniform convergence, part I Coregliano, Leonardo N. Malliaris, Maryanthe Logic Primary: 03C64, Secondary: 60F15 We show that certain families of sets in $\mathbb{R}^2$ (or $\mathbb{R}^n$) which are neither definable nor have bounded VC-dimension are nonetheless uniformly approximately definable in the real field, an o-minimal structure. |
| title | Some model-theoretic consequences of high-arity uniform convergence, part I |
| topic | Logic Primary: 03C64, Secondary: 60F15 |
| url | https://arxiv.org/abs/2605.09911 |