Non-Hausdorff Topology and Domain Theory

Selected Topics in Point-Set Topology

Nonfiction, Science & Nature, Mathematics, Topology, Computers, General Computing
Cover of the book Non-Hausdorff Topology and Domain Theory by Jean Goubault-Larrecq, Cambridge University Press
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Author: Jean Goubault-Larrecq ISBN: 9781107327115
Publisher: Cambridge University Press Publication: March 28, 2013
Imprint: Cambridge University Press Language: English
Author: Jean Goubault-Larrecq
ISBN: 9781107327115
Publisher: Cambridge University Press
Publication: March 28, 2013
Imprint: Cambridge University Press
Language: English

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, quasi-metric 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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, quasi-metric 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.

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