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arXiv · 1807.08861

Homogeneous Universal H-fields

Lou van den Dries·Philip Ehrlich
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Abstract

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

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Lou van den Dries, Philip Ehrlich. 2018-07-24. Homogeneous Universal H-fields. https://arxiv.org/abs/1807.08861

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