MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1591

Preprint Number 1591

Previous Next Preprint server


1591. Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven
Hardy fields, the intermediate value property, and ω-freeness
E-mail:

Submission date: 1 April 2019

Abstract:

We discuss the conjecture that every maximal Hardy field has the Intermediate Value Property for differential polynomials, and its equivalence to the statement that all maximal Hardy field are elementarily equivalent to the differential field of transseries. As a modest but essential step towards establishing the conjecture we show that every maximal Hardy field is ω-free.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1904.01069: pdf, ps.


Last updated: April 9 2019 12:18 Please send your corrections to: