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Topology via Logic Steven Vickers (Imperial College of Science, Technology and Medicine, London)

Topology via Logic By Steven Vickers (Imperial College of Science, Technology and Medicine, London)

Summary

This is an advanced textbook on topology for computer scientists. It is based on a course given by the author to postgraduate students of computer science at Imperial College.

Topology via Logic Summary

Topology via Logic by Steven Vickers (Imperial College of Science, Technology and Medicine, London)

Now in paperback, Topology via Logic is an advanced textbook on topology for computer scientists. Based on a course given by the author to postgraduate students of computer science at Imperial College, it 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 methods of locale theory are freely exploited. Third, there is substantial discussion of some computer science applications. Although books on topology aimed at mathematics exist, no book has been written specifically for computer scientists. 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.

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.

Additional information

NLS9780521576512
9780521576512
0521576512
Topology via Logic by Steven Vickers (Imperial College of Science, Technology and Medicine, London)
New
Paperback
Cambridge University Press
1996-08-22
220
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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