Submission date: 24 July 2018

Abstract:

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.

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Full text arXiv 1807.08861: pdf, ps.