Continuous Lattices and Domains [Hardcover]

Authoritative and comprehensive account; an essential handbook for all those working in the area.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.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.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.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. 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