Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Published 2011-12-22, updated 2012-06-12Version 2
The differential field of transseries extends the field of real Laurent series, and occurs in various context: asymptotic expansions, analytic vector fields, o-minimal structures, to name a few. We give an overview of the algebraic and model-theoretic aspects of this differential field, and report on our efforts to understand its first-order theory.
Comments: Notre Dame J. Form. Log., to appear; 33 pp
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