8 citations · 24 across the 14 of their papers we have counts for
Showing 2015Show all
2 papers · 1 filter
math.LO2015
The surreal numbers as a universal H-field
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We show that the natural embedding of the differential field of transseries into Conway's field of surreal numbers with the Berarducci-Mantova derivation is an elementary embedding…
math.LO2015★ 1 cited
Asymptotic Differential Algebra and Model Theory of Transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive posi…