Stone Spaces

Stone Spaces

by Peter T. Johnstone
     
 

ISBN-10: 0521337798

ISBN-13: 9780521337793

Pub. Date: 12/28/2002

Publisher: Cambridge University Press

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.

Overview

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.

Product Details

ISBN-13:
9780521337793
Publisher:
Cambridge University Press
Publication date:
12/28/2002
Series:
Cambridge Studies in Advanced Mathematics Series, #3
Edition description:
New Edition
Pages:
396
Product dimensions:
5.98(w) x 8.98(h) x 0.87(d)

Table of Contents

Preface; Advice to the reader; Introduction; 1. Preliminaries; 2. Introduction to locales; 3. Compact Hausdorff spaces; 4. Continuous real-valued functions; 5. Representations of rings; 6. Profiniteness and duality; 7. Continuous lattices; Bibliography; Index of categories; Index of other symbols; Index of definitions.

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