Abstract
In this note we consider a denumerable hilbertian field K equipped with an absolute value v which is either the usual absolute value induced by that of the complex numbers or a non-archimedean valuation with values in a commutative ordered group r. The absolute value v is assumed to have been extended in some fixed way to the algebraic closure k? of K. The purpose of this note is to strengthen Theorem A for such K in the following way.
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