Abstract
The first three sections of this chapter briefly review Artin-Schreier theory: ordered fields, real fields, real closed fields and the real closure of an ordered field. The fourth section is devoted to the Tarski-Seidenberg principle, which is an essential tool for real algebraic geometry.
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© 1998 Springer-Verlag Berlin Heidelberg
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Bochnak, J., Coste, M., Roy, MF. (1998). Ordered Fields, Real Closed Fields. In: Real Algebraic Geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete / A Series of Modern Surveys in Mathematics, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03718-8_2
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DOI: https://doi.org/10.1007/978-3-662-03718-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08429-4
Online ISBN: 978-3-662-03718-8
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