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 711, 1981T.p. verso.

Includes bibliographies.

Normal decompositions of semialgebraic sets ; Some open problems ; La topologie du spectre reel ; Semialgebraic topology over a real closed field ; A finiteness theorem for open semialgebraic sets, with applications to Hilbert's 17th problem ; An (almost trivial) localglobal principle for the representation of as a sum of squares in an arbitrary commutative ring ; The Nash ring of a real surface ; Extension of an order to a simple transcendental extension ; Theorie des modeles et fonctions definies positives sur les varietes algebriques reelles ; Chains of higher level orderings ; Some properties of positive derivations on ings ; Quadratic forms over fields with finitely many orderings ; Finitely generated groups of divisibility ; On quadratic forms and abelian varieties over function fields ; Order extensions and real algebraic geometry ; Real points and real places ; The strong topology on real algebraic varieties ; The square class invariant for Pythagorean fields ; Coherent algebraic sheaves in real algebraic geometry ; Digging holes in algebraic closures a la Artin. II C Andradas ; G Brumfiel ; Michel Coste and MarieFrancoise Roy ; Hans Delfs and Manfred Knebusch ; Charles N Delzell ; Ludwig Brocker Andreas Dress and Rudolf Scharlau ; Gustave A Efroymson ; Robert Gilmer ; Danielle Gondard ; Jonathan Harman ; Melvin Henriksen and F A Smith ; Jonathan Lee Merzel ; Bruce Glastad and Joe L Mott ; Albrecht Pfister ; D W Dubois and T Recio ; HeinzWerner Schulting ; Niels Schwartz ; Daniel B Shapiro and T Y Lam ; Alberto Tognoli ; Antonio J Engler and T M Viswanathan