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arXiv · 2406.09249

Closed bounded sets in 1-h-minimal valued fields

Juan Pablo Acosta López
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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.

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Juan Pablo Acosta López. 2024-06-13. Closed bounded sets in 1-h-minimal valued fields. https://arxiv.org/abs/2406.09249

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