Ordered fields and real algebraic geometry / [electronic resource] [edited by D.W. Dubois and T. Recio].

By: Special Session on Ordered Fields and Real Algebraic Geometry (1981 : San Francisco, Calif.)Contributor(s): Dubois, D. W. (Donald Ward), 1923- | Recio, T. (T�omas), 1949- | American Mathematical SocietyMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 8.Publication details: Providence, R.I. : American Mathematical Society, c1982Description: 1 online resource (vii, 360 p.)ISBN: 9780821875940 (online)Subject(s): Ordered fields -- Congresses | Geometry, Algebraic -- CongressesAdditional physical formats: Ordered fields and real algebraic geometry /DDC classification: 512/.3 LOC classification: QA247 | .S67 1981Online resources: Contents | Contents
Contents:
Normal decompositions of semialgebraic sets / C. Andradas -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653172 Some open problems / G. Brumfiel -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/02 La topologie du spectre r�eel / Michel Coste and Marie-Fran�coise Roy -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653174 Semialgebraic topology over a real closed field / Hans Delfs and Manfred Knebusch -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653175 A finiteness theorem for open semi-algebraic sets, with applications to Hilbert's 17th problem / Charles N. Delzell -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653176 An (almost trivial) local-global principle for the representation of $-1$ as a sum of squares in an arbitrary commutative ring / Ludwig Br�ocker, Andreas Dress and Rudolf Scharlau -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653177 The Nash ring of a real surface / Gustave A. Efroymson -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653178 Extension of an order to a simple transcendental extension / Robert Gilmer -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653179 Th�eorie des mod�eles et fonctions d�efinies positives sur les vari�et�es alg�ebriques r�eelles / Danielle Gondard -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653180 Chains of higher level orderings / Jonathan Harman -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653181 Some properties of positive derivations on $f$-rings / Melvin Henriksen and F. A. Smith -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653182 Quadratic forms over fields with finitely many orderings / Jonathan Lee Merzel -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653183 Finitely generated groups of divisibility / Bruce Glastad and Joe L. Mott -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653184 On quadratic forms and abelian varieties over function fields / Albrecht Pfister -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653185 Order extensions and real algebraic geometry / D. W. Dubois and T. R�ecio -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653186 Real points and real places / Heinz-Werner Sch�ulting -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653187 The strong topology on real algebraic varieties / Niels Schwartz -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653188 The square class invariant for Pythagorean fields / Daniel B. Shapiro and T. Y. Lam -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653189 Coherent algebraic sheaves in real algebraic geometry / Alberto Tognoli -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653190 Digging holes in algebraic closures �a la Artin. II / Antonio J. Engler and T. M. Viswanathan -- http://www.ams.org/conm/008/ http://dx.doi.org/10.1090/conm/008/653191
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"Proceedings of the Special Session on Ordered Fields and Real Algebraic Geometry, 87th Annual Meeting of the American Mathematical Society, held at San Francisco, California, January 7-11, 1981"--T.p. verso.

Includes bibliographies.

Normal decompositions of semialgebraic sets / C. Andradas -- Some open problems / G. Brumfiel -- La topologie du spectre r�eel / Michel Coste and Marie-Fran�coise Roy -- Semialgebraic topology over a real closed field / Hans Delfs and Manfred Knebusch -- A finiteness theorem for open semi-algebraic sets, with applications to Hilbert's 17th problem / Charles N. Delzell -- An (almost trivial) local-global principle for the representation of $-1$ as a sum of squares in an arbitrary commutative ring / Ludwig Br�ocker, Andreas Dress and Rudolf Scharlau -- The Nash ring of a real surface / Gustave A. Efroymson -- Extension of an order to a simple transcendental extension / Robert Gilmer -- Th�eorie des mod�eles et fonctions d�efinies positives sur les vari�et�es alg�ebriques r�eelles / Danielle Gondard -- Chains of higher level orderings / Jonathan Harman -- Some properties of positive derivations on $f$-rings / Melvin Henriksen and F. A. Smith -- Quadratic forms over fields with finitely many orderings / Jonathan Lee Merzel -- Finitely generated groups of divisibility / Bruce Glastad and Joe L. Mott -- On quadratic forms and abelian varieties over function fields / Albrecht Pfister -- Order extensions and real algebraic geometry / D. W. Dubois and T. R�ecio -- Real points and real places / Heinz-Werner Sch�ulting -- The strong topology on real algebraic varieties / Niels Schwartz -- The square class invariant for Pythagorean fields / Daniel B. Shapiro and T. Y. Lam -- Coherent algebraic sheaves in real algebraic geometry / Alberto Tognoli -- Digging holes in algebraic closures �a la Artin. II / Antonio J. Engler and T. M. Viswanathan --

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653172

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/02

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653174

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653175

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653176

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653177

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653178

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653179

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653180

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653181

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653182

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653183

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653184

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653185

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653186

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653187

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653188

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653189

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653190

http://www.ams.org/conm/008/

http://dx.doi.org/10.1090/conm/008/653191

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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