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Publications > Preprint server > Preprint Number 1591
Preprint Number 1591
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: |
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