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Transseries and Todorov–Vernaeve’s asymptotic fields

Transseries and Todorov–Vernaeve’s asymptotic fields 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Transseries and Todorov–Vernaeve’s asymptotic fields

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References (39)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-013-0356-5
Publisher site
See Article on Publisher Site

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.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Sep 24, 2013

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