Closed bounded sets in 1-h-minimal valued fields
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929385228992512 |
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| author | López, Juan Pablo Acosta |
| author_facet | López, Juan Pablo Acosta |
| contents | We show that the 1-h-minimal fields satisfy a property of naive compactness for decreasing definable families of closed bounded sets indexed by the value group. We use this to prove that a local topological definable group has a definable family of neighborhoods of the identity consisting of open subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09249 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Closed bounded sets in 1-h-minimal valued fields López, Juan Pablo Acosta Logic Commutative Algebra 03C07 We show that the 1-h-minimal fields satisfy a property of naive compactness for decreasing definable families of closed bounded sets indexed by the value group. We use this to prove that a local topological definable group has a definable family of neighborhoods of the identity consisting of open subgroups. |
| title | Closed bounded sets in 1-h-minimal valued fields |
| topic | Logic Commutative Algebra 03C07 |
| url | https://arxiv.org/abs/2406.09249 |