Topology via logic
著者
書誌事項
Topology via logic
（Cambridge tracts in theoretical computer science, 5）
Cambridge University Press, 1989
- pbk.
並立書誌 全1件
-
-
Topology via logic / Steven Vickers
BA28717796
-
Topology via logic / Steven Vickers
大学図書館所蔵 件 / 全55件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Bibliography: p. [191]-195
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
「Nielsen BookData」 より
