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Preprint Number 973

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973. Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
The surreal numbers as a universal H-field
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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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Full text arXiv 1512.02267: pdf, ps.


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