Topology via Logic

by Steven Vickers

Overview

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.

Product Details

ISBN-13:	9780521576512
Publisher:	Cambridge University Press
Publication date:	08/22/1996
Series:	Cambridge Tracts in Theoretical Computer Science , #5
Edition description:	New Edition
Pages:	220
Product dimensions:	6.77(w) x 10.24(h) x 0.51(d)

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.

Editorial Reviews

An advanced textbook on topology for computer scientists based on a course given by Vickers (Dept. of Computing, U. of London) to postgraduate students of computer science at Imperial College. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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