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Preprint Number 2650
2650. Juan Pablo Acosta López Closed bounded sets in 1-h-minimal valued fields E-mail: Submission date: 13 June 2024 Abstract: 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. Mathematics Subject Classification: 03C07 Keywords and phrases: |
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