Publications > Preprint server > Preprint Number 840
Preprint Number 840
840. Alessandro Berarducci and Vincenzo Mantova
Surreal numbers, derivations and transseries
Submission date: 1 March 2015.
Several authors have conjectured that Conway's field of surreal numbers, equipped with the exponential function of Kruskal and Gonshor, can be described as a field of transseries and admits a compatible differential structure of Hardy-type. In this paper we give a complete positive solution to both problems. We also show that with this new differential structure, the surreal numbers are Liouville closed, namely the derivation is surjective.
Mathematics Subject Classification: 03C64 16W60 04A10 26A12 13N15
Keywords and phrases:
|Last updated: March 7 2015 10:19||Please send your corrections to:|