Towards a Model Theory for Transseries

Details Towards a Model Theory for Transseries Towards a Model Theory for Transseries

2011-12-22

arxiv.org/abs/1112.5237v1

Mathematics

Logic

32 pp

Scientific paper

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.

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