The surreal numbers as a universal $H$-field
Résumé
We show that the natural embedding of the differential field of transseries into Conway's field of surreal numbers with the Berarducci-Mantova derivation is an elementary embedding. We also prove that any Hardy field embeds into the field of surreals with the Berarducci-Mantova derivation.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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