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math.LO2016
Recent Progress on Definability of Henselian Valuations
Arno Fehm, Franziska Jahnke
Although the study of the definability of henselian valuations has a long history starting with J. Robinson, most of the results in this area were proven during the last few years.…
math.LO2016★ 5 cited
When does NIP transfer from fields to henselian expansions?
Franziska Jahnke
Let be an NIP field and let be a henselian valuation on . We ask whether is NIP as a valued field. By a result of Shelah, we know that if is externally defin…
math.LO2016
NIP henselian valued fields
Franziska Jahnke, Pierre Simon
We show that any theory of tame henselian valued fields is NIP if and only if the theory of its residue field and the theory of its value group are NIP. Moreover, we show that if $…