The theory of maximal Hardy fields
Logic
2024-08-13 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
We show that all maximal Hardy fields are elementarily equivalent as differential fields to the differential field of transseries, and give various applications of this result and its proof.
Cite
@article{arxiv.2408.05232,
title = {The theory of maximal Hardy fields},
author = {Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven},
journal= {arXiv preprint arXiv:2408.05232},
year = {2024}
}
Comments
80 pp; extracted for publication from arXiv:2304.10846