Algorithmic and computer methods for three-manifolds
著者
書誌事項
Algorithmic and computer methods for three-manifolds
（Mathematics and its applications, v. 425）
Kluwer Academic, c1997
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注記
Includes bibliographical references (p. [323]-326) and index
内容説明・目次
内容説明
One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.
目次
1. Preliminary Information. 2. Surfaces. 3. The Homeotopy Group of a Surface. 4. The Presentation of Three-Dimensional Manifolds by the Identification of Faces of Polyhedra. 5. Heegaard Splittings and Heegaard Diagrams. 6. Algorithmic Recognition of the Sphere. 7. Connected Sums. 8. Knots and Links. 9. Surgery Along Links. 10. Seifert Manifolds. 11. Class H. 12. The Haken Method. Comments on the Figures. References. Index.
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