The theory of maximal Hardy fields - Laboratoire d'informatique de l'X (LIX)
Preprints, Working Papers, ... Year : 2024

The theory of maximal Hardy fields

Abstract

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.

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Mathematics [math]
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Joris van der Hoeven  : Connect in order to contact the contributor

https://hal.science/hal-04741478

Submitted on : Thursday, October 17, 2024-1:48:11 PM

Last modification on : Friday, October 18, 2024-3:19:08 AM

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hal-04741478 , version 1 (17-10-2024)

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Matthias Aschenbrenner, Lou van Den Dries, Joris van der Hoeven. The theory of maximal Hardy fields. 2024. ⟨hal-04741478⟩

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