Pierre Touchard
Published 2018-11-21, updated 2020-01-08Version 2
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 and that of its value group. To do so, we first see that the burden of such a field is equal to the burden of its RV-sort. These results are generalizations of Chernikov and Simon's work in [CS19].
Relative model completeness of henselian valued fields with finite ramification and various value groups
On orthogonal types to the value group and residual domination
Relative decidability and definability in henselian valued fields
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