NIP FOR THE ASYMPTOTIC COUPLE OF THE FIELD OF LOGARITHMIC TRANSSERIES

DOI10.1017/jsl.2016.59zbMath1419.03035arXiv1503.06496OpenAlexW2963247829MaRDI QIDQ5738189

Allen Gehret

Publication date: 1 June 2017

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06496

zbMATH Keywords

asymptotic integrationindependence propertyasymptotic coupleslogarithmic transseriescontraction groups

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64)

Related Items (5)

A tale of two Liouville closures ⋮ The asymptotic couple of the field of logarithmic transseries ⋮ Logarithmic hyperseries ⋮ Distality for the asymptotic couple of the field of logarithmic transseries ⋮ Normal forms of hyperbolic logarithmic transseries

Cites Work

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• The asymptotic couple of the field of logarithmic transseries
• Set theory. An introduction to independence proofs
• Classification theory and the number of non-isomorphic models.
• Differential valuations
• Ordered exponential fields
• Distal and non-distal NIP theories
• Closed asymptotic couples
• Asymptotic Differential Algebra and Model Theory of Transseries
• On the Value Group of a Differential Valuation II
• On the Value Group of a Differential Valuation
• Quasi-o-minimal structures
• Model Theory
• Set Theory
• A Guide to NIP Theories
• Aronszajn trees and the independence of the transfer property

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