| Description |
1 online resource (xiv, 492 pages) : illustrations |
| Series |
Algorithms and computation in mathematics, 1431-1550 ; v. 9 |
|
Algorithms and computation in mathematics ; v. 9. 1431-1550
|
| Contents |
1. Simple and Special Polyhedra -- 2. Complexity Theory of 3-Manifolds -- 3. Haken Theory of Normal Surfaces -- 4. Applications of the Theory of Normal Surfaces -- 5. Algorithmic Recognition of S[superscript 3] -- 6. Classification of Haken 3-Manifolds -- 7. 3-Manifold Recognizer -- 8. The Turaev-Viro Invariants |
| Summary |
From the reviews of the 1st edition: "This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph ... All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary. In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". R. Piergallini, Zentralblatt für Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added |
| Bibliography |
Includes bibliographical references (pages 481-487) and index |
| Notes |
Print version record |
| Subject |
Low-dimensional topology.
|
|
Three-manifolds (Topology)
|
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Three-manifolds (Topology)
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Low-dimensional topology.
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Low-dimensional topology
|
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Three-manifolds (Topology)
|
| Form |
Electronic book
|
| ISBN |
9783540458999 |
|
3540458999 |
|
3540458980 |
|
9783540458982 |
|
