On Petr Novikov's problem of ordered systems of uniform sets
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914475128389632 |
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| author | Kanovei, Vladimir Lyubetsky, Vassily |
| author_facet | Kanovei, Vladimir Lyubetsky, Vassily |
| contents | We prove that every ordinal $α<ω_2$ is the order type of a certain system of uniform Borel sets in the sense of a well-ordering relation defined by Petr Novikov. This result gives a positive answer to a problem posed by Nicolas Luzin in 1935. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07594 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Petr Novikov's problem of ordered systems of uniform sets Kanovei, Vladimir Lyubetsky, Vassily Logic 03E15 (Primary), 28A05 (Secondary) We prove that every ordinal $α<ω_2$ is the order type of a certain system of uniform Borel sets in the sense of a well-ordering relation defined by Petr Novikov. This result gives a positive answer to a problem posed by Nicolas Luzin in 1935. |
| title | On Petr Novikov's problem of ordered systems of uniform sets |
| topic | Logic 03E15 (Primary), 28A05 (Secondary) |
| url | https://arxiv.org/abs/2604.07594 |