Constructing $ω$-free Hardy fields
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910046624940032 |
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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 every Hardy field extends to an $ω$-free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations. It is essential in [10], and here we apply it to answer questions of Boshernitzan, and to generalize a theorem of his. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03695 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructing $ω$-free Hardy fields Aschenbrenner, Matthias Dries, Lou van den van der Hoeven, Joris Commutative Algebra Classical Analysis and ODEs Dynamical Systems Logic We show that every Hardy field extends to an $ω$-free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations. It is essential in [10], and here we apply it to answer questions of Boshernitzan, and to generalize a theorem of his. |
| title | Constructing $ω$-free Hardy fields |
| topic | Commutative Algebra Classical Analysis and ODEs Dynamical Systems Logic |
| url | https://arxiv.org/abs/2404.03695 |