Geodesic
Ordered fields and the ultrafilter theorem
Fundamenta Mathematicae, Tome 159 (1999) no. 3, pp. 231-241.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that on the basis of ZF the ultrafilter theorem and the theorem of Artin-Schreier are equivalent. The latter says that every formally real field admits a total order.
DOI : 10.4064/fm-159-3-231-241

R. Berr 1 ; F. Delon 1 ; J. Schmid 1

1 
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R. Berr; F. Delon; J. Schmid. Ordered fields and the ultrafilter theorem. Fundamenta Mathematicae, Tome 159 (1999) no. 3, pp. 231-241. doi : 10.4064/fm-159-3-231-241. http://geodesic.mathdoc.fr/articles/10.4064/fm-159-3-231-241/

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