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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1179-1199 |
| Number of pages | 21 |
| Journal | Journal of the European Mathematical Society |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2019 |
Keywords
- Differential fields
- Hardy fields
- Surreal numbers
- Transseries
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics