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| 內容簡介： |
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这本书提供了一个全面、详细的3-维流形的分类并介绍了算法拓扑学，该书的作者也是这方面领域的专家。该书是springer的AlgorithmsandComputationinMathematics丛书的第九本。属于"反映学术前沿进展的优秀学术著作"这一类。
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| 目錄：
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1 simple and special polyhedra
1.1 spines of 3-manifolds
1.2 elementary moves on special spines
1.3 special polyhedra which are not spines
2 complexity theory of 3-manifolds
2.1what is the complexity of a 3-manifold?
2.2properties of complexity
2.3closed manifolds of small complexity
2.4graph manifolds of waldhausen
2.5hyperbolic manifolds
2.6lower bounds of the complexity
3 haken theory of normal surfaces
3.1 basic notions and haken''s scheme
3.2 theory of normal curves
3.3 normal surfaces in 3-manifolds
3.4 normal surfaces in handle decompositions
4 applications of the theory of normal surfaces
6 Classification of Haken 3-Manifolds
5 algorithmic recognition of sa
7 3-manifold recognizer
8 the turaev-viro invariants
references
index
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