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Stone Spaces

Stone Spaces

$68.00

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: August 1986
  • availability: Available
  • format: Paperback
  • isbn: 9780521337793

$68.00
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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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    Product details

    • Date Published: August 1986
    • format: Paperback
    • isbn: 9780521337793
    • length: 396 pages
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.58kg
    • availability: Available
  • 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.

  • Author

    Peter T. Johnstone

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