A Hardy Field is a special field of equivalence classes of real functions which are defined on a neighborhood of plus infinity on the real numbers. Working in a real-closed field with a real valuation which is order-compatible, we give the definition of a generalized Hardy Field. Then generalizing a theorem of A. Robinson on Hardy Fields, we prove that the real-closure of a generalized Hardy Field is always a generalized Hardy Field.

Sulla chiusura reale dei campi generalizzati di Hardy

PASINI, Leonardo
1982-01-01

Abstract

A Hardy Field is a special field of equivalence classes of real functions which are defined on a neighborhood of plus infinity on the real numbers. Working in a real-closed field with a real valuation which is order-compatible, we give the definition of a generalized Hardy Field. Then generalizing a theorem of A. Robinson on Hardy Fields, we prove that the real-closure of a generalized Hardy Field is always a generalized Hardy Field.
1982
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/241830
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