Continuous Lattices and Domains

ISBN-13: 9780521803380 / Angielski / Twarda / 2003 / 628 str.

Gerhard Gierz; Karl Hofmann; Klaus Keimel

Opis

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.

Recenzje

'… this is the book for all those interested in the topic … I am pleased to recommend … this most authentic source of information on continuous lattices and domains.' Acta Scientiarum Mathematicarum

Spis treści

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.