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Publications > Preprint server > Preprint Number 973
Preprint Number 973
973. Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven The surreal numbers as a universal H-field E-mail: Submission date: 7 December 2015 Abstract: 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.
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