2 papers
math.LO2017
Definable Valuations induced by multiplicative subgroups and NIP Fields
Katharina Dupont, Assaf Hasson, Salma Kuhlmann
We study the algebraic implications of the non-independence property (NIP) and variants thereof (dp-minimality) on infinite fields, motivated by the conjecture that all such fields…
math.LO2016
Definable Valuations Induced by Definable Subgroups
Katharina Dupont
In his unpublished preprint "Definable Valuations" Koenigsmann shows that every field that admits a t-henselian topology is either real closed or separably closed or admits a defin…