A+ CATEGORY SCIENTIFIC UNIT

Ordered fields and the ultrafilter theorem

Volume 159 / 1999

R. Berr, F. Delon, J. Schmid Fundamenta Mathematicae 159 (1999), 231-241 DOI: 10.4064/fm-159-3-231-241

Abstract

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.

Authors

  • R. Berr
  • F. Delon
  • J. Schmid

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