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Topology via Logic

Topology via Logic

$62.00 (P)

Part of Cambridge Tracts in Theoretical Computer Science

  • Author: Steven Vickers, Imperial College of Science, Technology and Medicine, London
  • Date Published: September 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521576512

$ 62.00 (P)
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  • This advanced textbook on topology has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the author freely exploits the methods of locale theory. Third, there is substantial discussion of some computer science applications. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap for computer scientists.

    • No competing titles
    • Fully class tested
    • No book has been previously written for computer scientists on this subject
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    Product details

    • Date Published: September 1996
    • format: Paperback
    • isbn: 9780521576512
    • length: 220 pages
    • dimensions: 260 x 172 x 13 mm
    • weight: 0.4kg
    • contains: 43 b/w illus. 64 exercises
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Affirmative and refutative assertions
    3. Frames
    4. Frames as algebras
    5. Topology: the definitions
    6. New topologies for old
    7. Point logic
    8. Compactness
    9. Spectral algebraic locales
    10. Domain theory
    11. Power domains
    12. Spectra of rings
    Bibliography.

  • Author

    Steven Vickers, Imperial College of Science, Technology and Medicine, London

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