L. van den Dries

activity

20092026

most citedMaximal immediate extensions of valued differential fields

8 citations · 24 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.LO2023

Analytic Hardy fields

Matthias Aschenbrenner, Lou van den Dries

We show that maximal analytic Hardy fields are $η_{1}$ in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered diffe…

math.LO2023

Filling gaps in Hardy fields

Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

We show how to fill "countable" gaps in Hardy fields. We use this to prove that any two maximal Hardy fields are back-and-forth equivalent.

math.LO2023

Maximal Hardy Fields

Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

We show that all maximal Hardy fields are elementarily equivalent as differential fields, and give various applications of this result and its proof. We also answer some questions…