Non-Hausdorff Topology and Domain Theory
eBook - PDF

Non-Hausdorff Topology and Domain Theory

Selected Topics in Point-Set Topology

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Non-Hausdorff Topology and Domain Theory

Selected Topics in Point-Set Topology

About this book

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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Yes, you can access Non-Hausdorff Topology and Domain Theory by Jean Goubault-Larrecq in PDF and/or ePUB format, as well as other popular books in Matematica & Topologia. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Contents
  3. 1 Introduction
  4. 2 Elements of set theory
  5. 3 A first tour of topology: metric spaces
  6. 4 Topology
  7. 5 Approximation and function spaces
  8. 6 Metrics, quasi-metrics, hemi-metrics
  9. 7 Completeness
  10. 8 Sober spaces
  11. 9 Stably compact spaces and compact pospaces
  12. References
  13. Notation index
  14. Index