Exponential fields and Conway's omega-map
BERARDUCCI, Alessandro
University of Pisa [Italy] = Università di Pisa [Italia] = Université de Pise [Italie] [UniPi]
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University of Pisa [Italy] = Università di Pisa [Italia] = Université de Pise [Italie] [UniPi]
BERARDUCCI, Alessandro
University of Pisa [Italy] = Università di Pisa [Italia] = Université de Pise [Italie] [UniPi]
< Réduire
University of Pisa [Italy] = Università di Pisa [Italia] = Université de Pise [Italie] [UniPi]
Langue
en
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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