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Transseries and Todorov–Vernaeve’s asymptotic fields
Archive for Mathematical Logic 53 (1-2):65-87 (2014)
Abstract
We study the relationship between fields of transseries and residue fields of convex subrings of non-standard extensions of the real numbers. This was motivated by a question of Todorov and Vernaeve, answered in this paperLinks
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References found in this work
The absolute arithmetic continuum and the unification of all numbers great and small.Philip Ehrlich - 2012 - Bulletin of Symbolic Logic 18 (1):1-45.
T-Convexity and Tame Extensions.Dries Lou Van Den & H. Lewenberg Adam - 1995 - Journal of Symbolic Logic 60 (1):74 - 102.
Logarithmic-exponential series.Lou van den Dries, Angus Macintyre & David Marker - 2001 - Annals of Pure and Applied Logic 111 (1-2):61-113.
Comparison of exponential-logarithmic and logarithmic-exponential series.Salma Kuhlmann & Marcus Tressl - 2012 - Mathematical Logic Quarterly 58 (6):434-448.
$t$-convexity And Tame Extensions.Lou van den Dries & Adam H. Lewenberg - 1995 - Journal of Symbolic Logic 60 (1):74-102.
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