Stone Spaces

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Paperback | 13 October 1986

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396 Pages

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22.86 x 15.24 x 2.24

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Over the last 45 years, Boolean theorem has been generalized and extended in several different directions and its applications have reached into almost every area of modern mathematics; but since it lies on the frontiers of algebra, geometry, general topology and functional analysis, the corpus of mathematics which has arisen in this way is seldom seen as a whole. In order to give a unified treatment of this rather diverse body of material, Dr Johnstone begins by developing the theory of locales (a lattice-theoretic approach to 'general topology without points' which has achieved some notable results in the past ten years but which has not previously been treated in book form). This development culminates in the proof of Stone's Representation Theorem.

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You Can Find This Book In

Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Combinatorics & Graph Theory Mathematical Foundation Mathematical Logic Algebra

Preface
Advice to the reader
Introduction
Preliminaries
Introduction to locales
Compact Hausdorff spaces
Continuous real-valued functions
Representations of rings
Profiniteness and duality
Continuous lattices
Bibliography
Index of categories
Index of other symbols
Index of definitions
Table of Contents provided by Publisher. All Rights Reserved.

Stone Spaces

At a Glance

Paperback

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