Topology via logic

著者

• Vickers, Steven

書誌事項

Topology via logic

Steven Vickers

（Cambridge tracts in theoretical computer science, 5）

Cambridge University Press, 1996, c1989

• : pbk

注記

Bibliography: p. [191]-195

Includes index

The original first published, 1989

First paperback edition, 1996

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

詳細情報

• NII書誌ID(NCID): BA28717796
• ISBN:
  • 0521576512
• LCCN: 89000541
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge [England] ; New York
• ページ数/冊数: 200 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA611
  • DC19 : 514
• 件名:
  • LCSH : Topology
• 親書誌ID:
  • BA01121831