H-fields and Their Liouville Extensions
نویسنده
چکیده
We introduce H-fields as ordered differential fields of a certain kind. Hardy fields extending R, as well as the field of logarithmicexponential series over R are H-fields. We study Liouville extensions in the category ofH-fields, as a step towards a model theory ofH-fields. The main result is that an H-field has at most two Liouville closures.
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