Homogeneous universal H-fields

Lou Van Den Dries, Philip Ehrlich, Heike Mildenberger

Research output: Contribution to journalArticlepeer-review


We consider derivations ∂ on Conway’s field No of surreal numbers such that the ordered differential field (No, ∂) has constant field ℝ and is a model of the model companion of the theory of H-fields with small derivation. We show that this determines (No, ∂) uniquely up to isomorphism and that this structure is absolutely homogeneous universal for models of this theory with constant field ℝ.

Original languageEnglish (US)
Pages (from-to)2231-2234
Number of pages4
JournalProceedings of the American Mathematical Society
Issue number5
StatePublished - May 2019


  • H-fields
  • Ordered differential fields
  • Surreal numbers
  • Transseries

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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