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Every real closed field has an integer part

Published online by Cambridge University Press:  12 March 2014

M. H. Mourgues  and
J. P. Ressayre
M. H. Mourgues
Affiliation:
Equipe De Logique U.A. 753, Universite De Paris7, 75251 Paris Cedex 05, France
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Abstract

Let us call an integer part of an ordered field any subring such that every element of the field lies at distance less than I from a unique element of the ring. We show that every real closed field has an integer part.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 2 , June 1993 , pp. 641 - 647
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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