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.File in questo prodotto:
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