Locally o-minimal open core
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911397399494656 |
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| author | Fujita, Masato |
| author_facet | Fujita, Masato |
| contents | We demonstrate that the open core of a definably complete expansion of a densely linearly ordered abelian group is locally o-minimal if and only if any definable closed subset of $R$ is either discrete or contains a nonempty open interval. Here, the notation $R$ denotes the universe of the original structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_08197 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Locally o-minimal open core Fujita, Masato Logic 03C64 We demonstrate that the open core of a definably complete expansion of a densely linearly ordered abelian group is locally o-minimal if and only if any definable closed subset of $R$ is either discrete or contains a nonempty open interval. Here, the notation $R$ denotes the universe of the original structure. |
| title | Locally o-minimal open core |
| topic | Logic 03C64 |
| url | https://arxiv.org/abs/2111.08197 |