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A geometric model of
an arbitrary real closed field
Stanisław Spodzieja |
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Vol. 264 (2013), No. 2, 455–469
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Abstract |
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We give an elementary construction of any real closed field in terms of Nash function fields. We also give a characterization of any Archimedean field in terms of fields of Nash functions. |
Keywords
Nash function, semialgebraic set, real closed field,
ordering
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Mathematical Subject Classification 2000
Primary: 14P10, 14P20
Secondary: 32C07
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Milestones
Received: 11 June 2012
Revised: 25 September 2012
Accepted: 25 September 2012
Published: 28 July 2013
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Authors |
| Stanisław Spodzieja | |
| Faculty of Mathematics and Computer
Science Department of Analytic Functions and Differential Equations University of Łódź S. Banacha 22 90-238 Łódź Poland |
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