Analytic Hardy fields

Autor: Aschenbrenner, Matthias, Dries, Lou van den
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We show that maximal analytic Hardy fields are $\eta_1$ in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered differential field $\mathbb T$ of transseries is shown to be isomorphic to an analytic Hardy field.
Comment: 39 pp
Databáze: arXiv