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Closed bounded sets in 1-h-minimal valued fields
Published 13 Jun 2024 in math.LO and math.AC | (2406.09249v1)
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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