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arXiv · 1807.07486

A geometric model of an arbitrary differentially closed field of characteristic zero

Stanisław Spodzieja
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Abstract

We give an elementary construction of an arbitrary differentially closed field and of a universal differential extension of a differential field in terms of Nash function fields. We also give a characterization of any Archimedean ordered differentially closed field in terms of Nash functions.

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Stanisław Spodzieja. 2018-07-19. A geometric model of an arbitrary differentially closed field of characteristic zero. https://doi.org/10.1090/tran/8257

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