The generalized continuous model theory, Borel complexity and stability
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914488710594560 |
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| author | Ivanov, Aleksander |
| author_facet | Ivanov, Aleksander |
| contents | Given Polish space $\mathcal{Y}$ and a continuous language $L$ we study the corresponding logic $\mathsf{Iso}(\mathcal{Y})$-space $\mathcal{Y}_L$. We build a framework of generalized model theory towards analysis of Borel complexity of families of subsets of Effros spaces $\mathcal{F}(\mathcal{Y})^k_L\times \mathcal{F}(\mathsf{Iso} (\mathcal{Y}))^l$ corresponding to standard model-theoretic properties. In this paper we mainly apply this approach to stability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17374 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The generalized continuous model theory, Borel complexity and stability Ivanov, Aleksander Logic 03C45, 03C66, 03E15 Given Polish space $\mathcal{Y}$ and a continuous language $L$ we study the corresponding logic $\mathsf{Iso}(\mathcal{Y})$-space $\mathcal{Y}_L$. We build a framework of generalized model theory towards analysis of Borel complexity of families of subsets of Effros spaces $\mathcal{F}(\mathcal{Y})^k_L\times \mathcal{F}(\mathsf{Iso} (\mathcal{Y}))^l$ corresponding to standard model-theoretic properties. In this paper we mainly apply this approach to stability. |
| title | The generalized continuous model theory, Borel complexity and stability |
| topic | Logic 03C45, 03C66, 03E15 |
| url | https://arxiv.org/abs/2604.17374 |