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Topology Via Logic

Autor Steven Vickers Editat de C.J. van Rijsbergen, Samson Abramsky
en Limba Engleză Paperback – 9 iun 2003
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.
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Specificații

ISBN-13: 9780521576512
ISBN-10: 0521576512
Pagini: 220
Ilustrații: 43 b/w illus. 64 exercises
Dimensiuni: 189 x 246 x 13 mm
Greutate: 0.44 kg
Ediția:Revised
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

This is an advanced textbook on topology for computer scientists.