Topology via Logic
Topology via Logic
Steven Vickers, Imperial College of Science, Technology and Medicine, London
September 1996
Paperback
9780521576512
CAD$78.95
Paperback
This advanced textbook on topology has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the author freely exploits the methods of locale theory. Third, there is substantial discussion of some computer science applications. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap for computer scientists.
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Product details
September 1996Paperback
9780521576512
220 pages
260 × 172 × 13 mm
0.57kg
43 b/w illus. 64 exercises
Available
Table of Contents
- 1. Introduction
- 2. Affirmative and refutative assertions
- 3. Frames
- 4. Frames as algebras
- 5. Topology: the definitions
- 6. New topologies for old
- 7. Point logic
- 8. Compactness
- 9. Spectral algebraic locales
- 10. Domain theory
- 11. Power domains
- 12. Spectra of rings
- Bibliography.
