Ordered fields and real algebraic geometry

Ordered fields and real algebraic geometry

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Title Statements

  • Full title :Ordered fields and real algebraic geometry / [edited by D.W. Dubois and T. Recio].

Edition Statements

  • Publication Date:©1982.

Publication Statements

Notes

"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"--Title page verso.

The Physical Object

  • Description:vii, 360 pages ; : 26 cm

Edition Identifiers

  • ISBN:0821850075, 9780821850077
  • oclc:ocm08283102
  • LC Classification:QA247
  • Dewey Decimal:512/.3

Table of Contents

Introduction -- Normal decompositions of semi-algebraic sets / C. Andradas -- Some open problems / G. Brumfiel -- La topologie du spectre reel / Michel Coste and Marie-Francoise Roy -- Semialgebraic topology over a real closed field / H. Delfs and M. Knebusch -- A finiteness theorem for open semi-algebraic sets, with applications to Hilbert's 17th problem / C. Delzell -- An (almost) trivial local-global principle for the representation of -1 as a sum of squares in an arbitrary commutative ring / L. Brocker, Andreas Dress and R. Scharlau -- The Nash ring of a real surface / G. Efroymson -- Extension of an order to a simple transcendental extension / R. Gilmer -- Theorie des modeles et fonctions definies positives sur les varietes algebriques reelles / D. Gondard -- Chains of higher level orderings / J. Harman -- Some properties of positive derivations on f-rings / M. Henriksen and F. Smith -- Quadratic forms over fields with finitely many orderings / J. Merzel -- Finitely generated groups of divisibility / B. Glastad and J. Mott -- On Quadratic forms and Abelian varieties over function fields / A. Pfister -- Order extensions and real algebraic geometry / D. Dubois and T. Recio -- R…

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