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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521576512
ISBN-139780521576512
eBay Product ID (ePID)1097794
Product Key Features
Number of Pages220 Pages
LanguageEnglish
Publication NameTopology Via Logic
Publication Year1996
SubjectProgramming Languages / General, Topology
TypeTextbook
Subject AreaMathematics, Computers
AuthorSteven Vickers
SeriesCambridge Tracts in Theoretical Computer Science Ser.
FormatTrade Paperback
Dimensions
Item Height0.5 in
Item Weight20.2 Oz
Item Length10.2 in
Item Width6.8 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition20
Series Volume NumberSeries Number 5
IllustratedYes
Dewey Decimal514
Table Of Content1. 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.
SynopsisNow 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., 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., 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.