Partially Ordered Rings and Semi-Algebraic Geometry

Partially Ordered Rings and Semi-Algebraic Geometry - Lecture Note Series / London Mathematical Society

Paperback (20 Dec 1979)

  • $69.74
Add to basket

Includes delivery to the United States

10+ copies available online - Usually dispatched within 7 days

Publisher's Synopsis

The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.

Book information

ISBN: 9780521228459
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 516.35
DEWEY edition: 18
Language: English
Number of pages: 280
Weight: 400g
Height: 228mm
Width: 152mm
Spine width: 17mm