Distality for the asymptotic couple of the field of logarithmic transseries

DOI10.1215/00294527-2020-0010zbMath1484.03068arXiv1802.05732OpenAlexW3015701434MaRDI QIDQ778739

Elliot Kaplan, Allen Gehret

Publication date: 20 July 2020

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05732

zbMATH Keywords

distalityasymptotic integrationindependence propertyasymptotic coupleslogarithmic transseriesdp-rankindiscernible sequences

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12)

Related Items (3)

Distality in valued fields and related structures ⋮ HAMEL SPACES AND DISTAL EXPANSIONS ⋮ DISTALITY RANK

Cites Work

• Unnamed Item
• The asymptotic couple of the field of logarithmic transseries
• Distal and non-distal NIP theories
• Regularity lemma for distal structures
• Cutting lemma and Zarankiewicz's problem in distal structures
• A tale of two Liouville closures
• Strong theories of ordered Abelian groups
• Asymptotic Differential Algebra and Model Theory of Transseries
• Dependent pairs
• On the Value Group of a Differential Valuation II
• Externally definable sets and dependent pairs II
• A Guide to NIP Theories
• NIP FOR THE ASYMPTOTIC COUPLE OF THE FIELD OF LOGARITHMIC TRANSSERIES
• DISTAL AND NON-DISTAL PAIRS

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