Topology Via Logic

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.