Filling gaps in Hardy fields
Logic
2024-06-19 v2 Classical Analysis and ODEs
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2308.02446,
title = {Filling gaps in Hardy fields},
author = {Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven},
journal= {arXiv preprint arXiv:2308.02446},
year = {2024}
}
Comments
58 pp; revised based on comments by a referee