Spaces of Orderings and Abstract Real Spectra

This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the imp...

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Bibliographic Details
Main Author: Marshall, Murray A.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1996, 1996
Edition:1st ed. 1996
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Orderings on fields
  • Spaces of orderings
  • Fans and the representation theorem
  • P-structures, connected components and 0 the isotropy theorem
  • The real spectrum of a ring
  • Abstract real spectra
  • Minimal generation of constructible sets
  • Structure results and realization results