Ebook: Algorithmic Topology and Classification of 3-Manifolds
Author: Sergei Matveev (auth.)
- Tags: Topology, Differential Geometry, Algorithms, Symbolic and Algebraic Manipulation
- Series: Algorithms and Computation in Mathematics 9
- Year: 2003
- Publisher: Springer Berlin Heidelberg
- Language: English
- pdf
Content:
Front Matter....Pages I-XII
Simple and Special Polyhedra....Pages 1-58
Complexity Theory of 3-Manifolds....Pages 59-106
Haken Theory of Normal Surfaces....Pages 107-145
Applications of the Theory of Normal Surfaces....Pages 147-191
Algorithmic Recognition of S 3 ....Pages 193-214
Classification of Haken 3-Manifolds....Pages 215-328
Computer Implementation....Pages 329-366
The Turaev-Viro Invariants....Pages 367-403
Appendix....Pages 405-466
Back Matter....Pages 467-478
Content:
Front Matter....Pages I-XII
Simple and Special Polyhedra....Pages 1-58
Complexity Theory of 3-Manifolds....Pages 59-106
Haken Theory of Normal Surfaces....Pages 107-145
Applications of the Theory of Normal Surfaces....Pages 147-191
Algorithmic Recognition of S 3 ....Pages 193-214
Classification of Haken 3-Manifolds....Pages 215-328
Computer Implementation....Pages 329-366
The Turaev-Viro Invariants....Pages 367-403
Appendix....Pages 405-466
Back Matter....Pages 467-478
....
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