1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.RA2022★ 1 cited
On the hyperfields associated to valued fields
Alessandro Linzi, Pierre Touchard
One can associate to a valued field an inverse system of valued hyperfields in a natural way. We investigate when, conversely, such a system arise from…
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…