Closed asymptotic couples

DOI10.1006/jabr.1999.8128zbMath0974.12015OpenAlexW1996490280MaRDI QIDQ1972038

L. P. D. van den Dries, Matthias Aschenbrenner

Publication date: 13 August 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6b34ca0fbd9cd4d7c05ceb8b42af47491ae3b2ea

zbMATH Keywords

quantifier eliminationvaluationHardy fieldmodel completionH-couple

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Valued fields (12J10)

Related Items

A tale of two Liouville closures ⋮ Pfaffian differential equations over exponential o-minimal structures ⋮ The asymptotic couple of the field of logarithmic transseries ⋮ Toward a model theory for transseries ⋮ Revisiting closed asymptotic couples ⋮ The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small ⋮ A structure theorem for abelian quasi-ordered groups ⋮ NIP FOR THE ASYMPTOTIC COUPLE OF THE FIELD OF LOGARITHMIC TRANSSERIES ⋮ Liouville closed \(H\)-fields ⋮ Vapnik-Chervonenkis density in some theories without the independence property, I ⋮ The differential rank of a differential-valued field ⋮ Notes on local o-minimality

Cites Work

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• On the Value Group of a Differential Valuation
• Weakly o-minimal structures and some of their properties
• Weakly o-minimal structures and real closed fields
• Logarithmic-exponential series