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 paper.
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Aschenbrenner, M., Goldbring, I. Transseries and Todorov–Vernaeve’s asymptotic fields. Arch. Math. Logic 53, 65–87 (2014). https://doi.org/10.1007/s00153-013-0356-5
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DOI: https://doi.org/10.1007/s00153-013-0356-5