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Stone Spaces by Peter T. Johnstone
Book DescriptionOver 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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Book DetailsISBN: 9780521337793
(228mm x 152mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 14-Aug-1986
Country of Publication: United Kingdom
Books By Author Peter T. Johnstone
Sketches of an Elephant, Hardback (September 2002)» View all books by Peter T. Johnstone
Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. This compendium aims to present a comprehensive account of the main approaches and demonstrate the overall unity of the subject.
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