- Paperback: 396 pages
- Publisher: Cambridge University Press; New Ed edition (14 Aug 1986)
- Language English
- ISBN-10: 0521337798
- ISBN-13: 978-0521337793
- Product Dimensions: 2.3 x 1.5 x 0.3 cm
- Average Customer Review: 2.0 out of 5 stars See all reviews (1 customer review)
- Amazon Bestsellers Rank: 1,001,133 in Books (See Top 100 in Books)
- See Complete Table of Contents
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Product Description
Product Description
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.
Book Description
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. Dr Johnstone begins by developing the theory of locales. This development culminates in the proof of Stone's Representation Theorem.
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1.1 Let A be a set. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews
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1 of 1 people found the following review helpful
Format:Paperback|Amazon Verified Purchase
I bought this book to try to understand something of the Stone topology. Although this sounds like an obscure subject, the Stone topology is a way of giving a well understood limit structure to set algebras (and thus to algebraic structures in analysis), which is a very rich area. I confess though that I could not get on with this book. The category theoretic approach employed left me cold, and I was not sure of the value of the results achieved. I keep Stone spaces on my book shelf for reference, but I could not in truth recommend it for any other purpose. Of course it could simply be too deep for me ...
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