Submission date: 2 August 2024

Abstract:

80 pp; extracted for publication from arXiv:2304.10846.

We show that all maximal Hardy fields are elementarily equivalent as differential fields to the differential field 𝕋 of transseries, and give various applications of this result and its proof.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 2408.05232: pdf, ps.