A short note on model theory of C((t))
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910794104438784 |
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| author | Zhang, Zhentao |
| author_facet | Zhang, Zhentao |
| contents | In this short note, we study C((t)) in the language of valued rings. We show that a definable subset of C((t))n (or in monster model, Mn) is definably compact iff it is closed and unbounded. Then we give some comments on definable groups over C((t)). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12545 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A short note on model theory of C((t)) Zhang, Zhentao Logic In this short note, we study C((t)) in the language of valued rings. We show that a definable subset of C((t))n (or in monster model, Mn) is definably compact iff it is closed and unbounded. Then we give some comments on definable groups over C((t)). |
| title | A short note on model theory of C((t)) |
| topic | Logic |
| url | https://arxiv.org/abs/2501.12545 |