Filling gaps in Hardy fields
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.
Authors
- Joris van der Hoeven
- Matthias Aschenbrenner (ORCID: https://orcid.org/0000-0001-5895-5254)
- Lou van den Dries
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Vienna (AT)
- University of Illinois Urbana-Champaign (US)
- Laboratoire d'Informatique de l'École Polytechnique (FR)
Publication Details
- Journal
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Published
- 2024-08-22
- DOI
- https://doi.org/10.1515/crelle-2024-0046
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00