15 citations · 173 across the 43 of their papers we have counts for
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math.LO2018★ 2 cited
On Strongly NIP Ordered Fields and Definable Convex Valuations
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
We investigate what henselian valuations on ordered fields are definable in the language of ordered rings. This leads towards a systematic study of the class of ordered fields whic…
math.LO2018★ 5 cited
Exponential fields and Conway's omega-map
Alessandro Berarducci, Salma Kuhlmann, Vincenzo Mantova +1
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to the additive reduct of the field. We call such fields omega-fields and we prove…