Elementary constructive theory of ordered fields
Identifieur interne : 00DA74 ( Main/Exploration ); précédent : 00DA73; suivant : 00DA75Elementary constructive theory of ordered fields
Auteurs : Henri Lombardi [France, États-Unis] ; Marie-Françoise Roy [France, États-Unis]Source :
- Progress in Mathematics
Abstract
Abstract: The classical theory of ordered fields (Artin-Schreier theory) makes intensive use of non-constructive methods, in particular of the axiom of choice. However since Tarski (and even since Sturm and Sylvester) one knows how to compute in the real closure of an ordered field K solely by computations in K. This apparent contradiction is solved in this paper.
Url:
DOI: 10.1007/978-1-4612-0441-1_17
Affiliations:
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