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Ordered fields and real algebraic geometry
About this Title
Donald Ward Dubois and Tómas Recio, Editors
Publication: Contemporary Mathematics
Publication Year:
1982; Volume 8
ISBNs: 978-0-8218-5007-7 (print); 978-0-8218-7594-0 (online)
DOI: https://doi.org/10.1090/conm/008
MathSciNet review: 653171
Table of Contents
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Front/Back Matter
Articles
- C. Andradas – Normal decompositions of semialgebraic sets [MR 653172]
- G. Brumfiel – Some open problems
- Michel Coste and Marie-Françoise Roy – La topologie du spectre réel [MR 653174]
- Hans Delfs and Manfred Knebusch – Semialgebraic topology over a real closed field [MR 653175]
- Charles N. Delzell – A finiteness theorem for open semi-algebraic sets, with applications to Hilbert’s 17th problem [MR 653176]
- Ludwig Bröcker, Andreas Dress and Rudolf Scharlau – An (almost trivial) local-global principle for the representation of $-1$ as a sum of squares in an arbitrary commutative ring [MR 653177]
- Gustave A. Efroymson – The Nash ring of a real surface [MR 653178]
- Robert Gilmer – Extension of an order to a simple transcendental extension [MR 653179]
- Danielle Gondard – Théorie des modèles et fonctions définies positives sur les variétés algébriques réelles [MR 653180]
- Jonathan Harman – Chains of higher level orderings [MR 653181]
- Melvin Henriksen and F. A. Smith – Some properties of positive derivations on $f$-rings [MR 653182]
- Jonathan Lee Merzel – Quadratic forms over fields with finitely many orderings [MR 653183]
- Bruce Glastad and Joe L. Mott – Finitely generated groups of divisibility [MR 653184]
- Albrecht Pfister – On quadratic forms and abelian varieties over function fields [MR 653185]
- D. W. Dubois and T. Récio – Order extensions and real algebraic geometry [MR 653186]
- Heinz-Werner Schülting – Real points and real places [MR 653187]
- Niels Schwartz – The strong topology on real algebraic varieties [MR 653188]
- Daniel B. Shapiro and T. Y. Lam – The square class invariant for Pythagorean fields [MR 653189]
- Alberto Tognoli – Coherent algebraic sheaves in real algebraic geometry [MR 653190]
- Antonio J. Engler and T. M. Viswanathan – Digging holes in algebraic closures à la Artin. II [MR 653191]