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math.LO2020

Stably embedded submodels of Henselian valued fields

Pierre Touchard

We show a transfer principle for the property that all types realised in a given elementary extension are definable. It can be written as follows: a Henselian valued fields is stab…

math.LO2018

Burden in Henselian Valued Fields

Pierre Touchard

In the spirit of the Ax-Kochen-Ershov principle, we show that in certain cases the burden of a Henselian valued field can be computed in terms of the burden of its residue field an…