18 citations · 69 across the 34 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.LO2017
On numbers, germs, and transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Germs of real-valued functions, surreal numbers, and transseries are three ways to enrich the real continuum by infinitesimal and infinite quantities. Each of these comes with natu…
math.AC2017★ 8 cited
Maximal immediate extensions of valued differential fields
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We show that every valued differential field has an immediate strict extension that is spherically complete. We also discuss the issue of uniqueness up to isomorphism of such an ex…