Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 973

Preprint Number 973

Previous Next Preprint server

973. Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
The surreal numbers as a universal H-field

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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1512.02267: pdf, ps.

Last updated: March 23 2021 10:23 Please send your corrections to: