Maximal immediate extensions of valued differential fields

Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

Research output: Contribution to journalArticle

Abstract

We show that every valued differential field has an immediate strict extension that is spherically complete. We also discuss the issue of uniqueness up to isomorphism of such an extension.

Original languageEnglish (US)
Pages (from-to)376-406
Number of pages31
JournalProceedings of the London Mathematical Society
Volume117
Issue number2
DOIs
StatePublished - Aug 2018

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Isomorphism
Uniqueness

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Maximal immediate extensions of valued differential fields. / Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris.

In: Proceedings of the London Mathematical Society, Vol. 117, No. 2, 08.2018, p. 376-406.

Research output: Contribution to journalArticle

Aschenbrenner, Matthias ; van den Dries, Lou ; van der Hoeven, Joris. / Maximal immediate extensions of valued differential fields. In: Proceedings of the London Mathematical Society. 2018 ; Vol. 117, No. 2. pp. 376-406.
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