Homogeneous universal H-fields

Lou Van Den Dries; Philip Ehrlich; Heike Mildenberger

doi:10.1090/proc/14424

Homogeneous universal H-fields

Lou Van Den Dries, Philip Ehrlich, Heike Mildenberger

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2231-2234
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	5
DOIs	https://doi.org/10.1090/proc/14424
State	Published - May 2019

Keywords

H-fields
Ordered differential fields
Surreal numbers
Transseries

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/14424

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KW - Ordered differential fields

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KW - Transseries

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Homogeneous universal H-fields

Abstract

Keywords

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