2 papers
math.LO2025
An Approximate AKE Principle for Metric Valued Fields
Martin Hils, Stefan Marian Ludwig
We study metric valued fields in continuous logic, following Ben Yaacov's approach, thus working in the metric space given by the projective line. As our main result, we obtain an…
math.LO2025
One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields
Juan Pablo Acosta, Martin Hils
We give a complete list of the one-dimensional groups definable in algebraically closed valued fields and i the pseudo-local fields, up to a finite index subgroup and a quotient by…