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math.AC2018
Differential-henselianity and maximality of asymptotic valued differential fields
Nigel Pynn-Coates
We show that asymptotic (valued differential) fields have unique maximal immediate extensions. Connecting this to differential-henselianity, we prove that any differential-henselia…
math.AC2018
Newtonian valued differential fields with arbitrary value group
Nigel Pynn-Coates
The notion of newtonianity is central to the study of the ordered differential field of logarithmic-exponential transseries done by Aschenbrenner, van den Dries, and van der Hoeven…