Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to the additive reduct of the field. We call such fields omega-fields and we prove that any omega-field of bounded Hahn series with real coefficients admits an exponential function making it into a model of the theory of the real exponential field. We also consider relative versions with more general coefficient fields.
|Autori:||Berarducci, Alessandro; Kuhlmann, Salma; Mantova, Vincenzo; Matusinski, Mickael|
|Titolo:||Exponential fields and Conway’s omega-map|
|Anno del prodotto:||9999|
|Appare nelle tipologie:||1.1 Articolo in rivista|