NonHausdorff topology and domain theory
 Responsibility
 Jean GoubaultLarrecq.
 Language
 English.
 Publication
 Cambridge : Cambridge University Press, 2013.
 Physical description
 vi, 491 pages : illustrations ; 24 cm.
 Series
 New mathematical monographs ; 22.
Access
Creators/Contributors
 Author/Creator
 GoubaultLarrecq, Jean, author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 475479) and indexes.
 Contents

 1. Introduction 2. Elements of set theory 3. A first tour of topology: metric spaces 4. Topology 5. Approximation, and function spaces 6. Metrics, quasimetrics, hemimetrics 7. Completeness 8. Sober spaces 9. Stably compact spaces, and compact pospaces References Notation index Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasimetric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Series
 New mathematical monographs ; 22
 Note
 "Selected topics in pointset topology"Cover.
 ISBN
 9781107034136 (hardback)
 1107034132 (hardback)