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Continuous Lattices and Domains

Continuous Lattices and Domains

Continuous Lattices and Domains

G. Gierz , University of California, Riverside
K. H. Hofmann , Technische Universität, Darmstadt, Germany
K. Keimel , Technische Universität, Darmstadt, Germany
J. D. Lawson , Louisiana State University
M. Mislove , Tulane University, Louisiana
D. S. Scott , Carnegie Mellon University, Pennsylvania
April 2003
Available
Hardback
9780521803380

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    Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area. An extensive index and bibliography make this an ideal sourcebook for all those working in domain theory.

    • The only self-contained introduction to the mathematical theory of continuous lattices and domains
    • An authoritative resource for experts and students
    • Based on the authors' classic 'Compendium of Continuous Lattices', bringing together the major developments of the last 21 years

    Reviews & endorsements

    "Although a number of books treating various aspects of domains and continuous lattices have appeared since 1980, none are as up to date and comprehensive as this book. It is and will remain the best resource on continuous lattices, domains, applications, and the vast literature on these topics." Mathematical Reviews

    See more reviews

    Product details

    April 2003
    Hardback
    9780521803380
    628 pages
    236 × 160 × 38 mm
    0.957kg
    Available

    Table of Contents

    • Preface
    • Acknowledgements
    • Foreword
    • Introduction
    • 1. A primer on ordered sets and lattices
    • 2. Order theory of domains
    • 3. The Scott topology
    • 4. The Lawson Topology
    • 5. Morphisms and functors
    • 6. Spectral theory of continuous lattices
    • 7. Compact posets and semilattices
    • 8. Topological algebra and lattice theory: Applications
    • Bibliography
    • List of symbols
    • List of categories
    • Index.
      Authors
    • G. Gierz , University of California, Riverside
    • K. H. Hofmann , Technische Universität, Darmstadt, Germany
    • K. Keimel , Technische Universität, Darmstadt, Germany
    • J. D. Lawson , Louisiana State University
    • M. Mislove , Tulane University, Louisiana
    • D. S. Scott , Carnegie Mellon University, Pennsylvania