Maximal Hardy Fields
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915154818498560 |
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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, and give various applications of this result and its proof. We also answer some questions on Hardy fields posed by Boshernitzan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10846 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | 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, and give various applications of this result and its proof. We also answer some questions on Hardy fields posed by Boshernitzan. |
| title | Maximal Hardy Fields |
| topic | Logic Classical Analysis and ODEs Dynamical Systems |
| url | https://arxiv.org/abs/2304.10846 |