Asymptotic Differential Algebra and Model Theory of Transseries
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2015
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910769752309760 |
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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 develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_02588 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Asymptotic Differential Algebra and Model Theory of Transseries Aschenbrenner, Matthias Dries, Lou van den van der Hoeven, Joris Logic Commutative Algebra Classical Analysis and ODEs 03C64, 34C07, 34E05 We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures. |
| title | Asymptotic Differential Algebra and Model Theory of Transseries |
| topic | Logic Commutative Algebra Classical Analysis and ODEs 03C64, 34C07, 34E05 |
| url | https://arxiv.org/abs/1509.02588 |