Submission date: 13 November 2023

Abstract:

We show that maximal analytic Hardy fields are η_1 in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered differential field 𝕋 of transseries is shown to be isomorphic to an analytic Hardy field.

Mathematics Subject Classification:

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Full text arXiv 2311.07352: pdf, ps.