Spaces of orderings and abstract real spectra
Author(s)
Bibliographic Information
Spaces of orderings and abstract real spectra
（Lecture notes in mathematics, 1636）
Springer, c1996
Available at / 92 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1636RM961013
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [183]-186), and subject and symbol indexes
Description and Table of Contents
Description
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 important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations.
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.
by "Nielsen BookData"
