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Stone Spaces Peter T. Johnstone

Stone Spaces

Peter T. Johnstone

Published August 14th 1986
ISBN : 9780521337793
Paperback
396 pages
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 About the Book 

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, generalMoreOver 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 Stones Representation Theorem.