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math.LOAug 1, 2023
authors
  • Matthias Aschenbrenner
  • Lou van den Dries
  • Joris van der Hoeven
institutions
  • Centre National de la Recherche Scientifique
  • École Polytechnique
  • Laboratoire d'Informatique de l'École Polytechnique
  • University of Illinois Urbana-Champaign
  • University of Vienna
arXiv abstractPDF
paper

Filling gaps in Hardy fields

arXiv:2308.02446

Abstract

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.

58 pp; revised based on comments by a referee

References in corpus (2)

  • Normalizing Asymptotic Differential Equations
  • The theory of maximal Hardy fields
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