Spherically complete models of Hensel minimal valued fields
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913199107866624 |
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| author | Bradley-Williams, David Halupczok, Immanuel |
| author_facet | Bradley-Williams, David Halupczok, Immanuel |
| contents | We prove that Hensel minimal expansions of finitely ramified Henselian valued fields admit spherically complete immediate elementary extensions. More precisely, the version of Hensel minimality we use is $0$-hmix-minimality (which, in equi-characteristic $0$, amounts to $0$-h-minimality). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_08619 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Spherically complete models of Hensel minimal valued fields Bradley-Williams, David Halupczok, Immanuel Logic 03C60, 03C65, 12J25 We prove that Hensel minimal expansions of finitely ramified Henselian valued fields admit spherically complete immediate elementary extensions. More precisely, the version of Hensel minimality we use is $0$-hmix-minimality (which, in equi-characteristic $0$, amounts to $0$-h-minimality). |
| title | Spherically complete models of Hensel minimal valued fields |
| topic | Logic 03C60, 03C65, 12J25 |
| url | https://arxiv.org/abs/2109.08619 |