Non-Hausdorff topology and domain theory

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 s...

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Bibliographic Details
Main Author: Goubault-Larrecq, Jean
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2013
Series:New mathematical monographs
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of 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, quasi-metrics, hemi-metrics
  • 7. Completeness
  • 8. Sober spaces
  • 9. Stably compact spaces and compact pospaces