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Ordered fields and real algebraic geometry / [edited by D.W. Dubois and T. Recio].
- Format:
- Book
- Conference/Event
- Author/Creator:
- Special Session on Ordered Fields and Real Algebraic Geometry, Corporate Author.
- Conference Name:
- Special Session on Ordered Fields and Real Algebraic Geometry (1981 : San Francisco, Calif.), issuing body.
- Special Session on Ordered Fields and Real Algebraic Geometry
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 8.
- Contemporary mathematics, 0271-4132 ; volume 8
- Language:
- English
- Subjects (All):
- Ordered fields--Congresses.
- Ordered fields.
- Geometry, Algebraic--Congresses.
- Geometry, Algebraic.
- Physical Description:
- 1 online resource (369 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1982]
- Language Note:
- English
- Contents:
- Intro
- Contents
- Introduction
- Normal decompositions of semi-algebraic sets
- Some open problems
- La topologie du spectre réel
- Semialgebraic topology over a real closed field
- 1. Basic definitions
- 2. Some results in the theory of semialgebraic spaces
- 3. An application to Witt rings
- 4. Triangulation of affine semialgebraic spaces
- 5. Cohomological dimension
- 6. The homotopy axiom in semialgebraic cohomology
- 7. The duality theorems
- A finiteness theorem for open semi-algebraic sets, with applications to Hilbert's 17th problem
- An (almost) trivial local-global principle for the representation of-1 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
- Théorie des modèles et fonctions définies positives sur les variétés algébriques réelles
- Chains of higher level orderings
- Section 1. Chains of orderings
- Section 2. 2n-pythagorean fields
- Section 3. Extension theory
- Section 4. Chain closures
- Section 5. Further results on n-pythagorean fields
- Bibliography
- Some properties of positive derivations on f-rings
- 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 à la Artin
- II.
- 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.
- Includes bibliographies.
- Description based on print version record.
- ISBN:
- 0-8218-7594-9
- 0-8218-5007-5
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