Revisiting closed asymptotic couples

DOI10.1017/S0013091522000219OpenAlexW3201668337MaRDI QIDQ5088620

Matthias Aschenbrenner, Joris van der Hoeven, L. P. D. van den Dries

Publication date: 13 July 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.02107

zbMATH Keywords

transseriesasymptotic couplesHardy fields

Mathematics Subject Classification ID

Differential algebra (12H05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Non-Archimedean valued fields (12J25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64) Quantifier elimination, model completeness, and related topics (03C10)

Cites Work

• Differential-henselianity and maximality of asymptotic valued differential fields
• Differential valuations
• Closed asymptotic couples
• Asymptotic Differential Algebra and Model Theory of Transseries
• Logarithmic-Exponential Power Series
• Dimension in the realm of transseries

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