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math.LO2024
Closed bounded sets in 1-h-minimal valued fields
Juan Pablo Acosta López
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 prov…
math.LO2018★ 5 cited
One dimensional groups definable in the p-adic numbers
Juan Pablo Acosta López
A complete list of one dimensional groups definable in the p-adic numbers is given, up to a finite index subroup and a quotient by a finite subgroup.