£64.79

Cambridge University Press LMS: 37 Partially Ordered Rings (London Mathematical Society Lecture Note Series, Series Number 37)

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£65.71 £51.17 £54.34 £57.51 £60.69 £63.86 £67.03 29 June 2024 28 November 2024 29 April 2025 28 September 2025 28 February 2026

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Description

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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
21 August 2008
Listed Since
31 March 2008

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