Submission date: 19 July 2018

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.

Mathematics Subject Classification: 12H05, 13N15, 14P20, 14P10

Keywords and phrases:

Full text arXiv 1807.07486: pdf, ps.