The theory of maximal Hardy fields
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910562604023808 |
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| author | Aschenbrenner, Matthias Dries, Lou van den van der Hoeven, Joris |
| author_facet | Aschenbrenner, Matthias Dries, Lou van den van der Hoeven, Joris |
| contents | We show that all maximal Hardy fields are elementarily equivalent as differential fields to the differential field $\mathbb T$ of transseries, and give various applications of this result and its proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05232 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The theory of maximal Hardy fields Aschenbrenner, Matthias Dries, Lou van den van der Hoeven, Joris Logic Classical Analysis and ODEs Dynamical Systems We show that all maximal Hardy fields are elementarily equivalent as differential fields to the differential field $\mathbb T$ of transseries, and give various applications of this result and its proof. |
| title | The theory of maximal Hardy fields |
| topic | Logic Classical Analysis and ODEs Dynamical Systems |
| url | https://arxiv.org/abs/2408.05232 |