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...
Main Author: | |
---|---|
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