| 字定理在Heegaard分解方面的一个应用 |
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| 引用本文： | 何伯和. 字定理在Heegaard分解方面的一个应用[J]. 东北数学, 2002, 18(1): 44-48 |
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| 作者姓名： | 何伯和 |
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| 作者单位： | Department of Mathematics，Jilin University，Changchun，130023 |
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| 基金项目： | The NSF(19971034) of China. |
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| 摘 要： | The word theorem states that x can be denoted as a rotation inserting word of A if x is in the normal closure of A in F(X). As an application of the theorem, in this note a condition that guarantees reducing the genus of Heegaard splitting of 3-manifolds is given. This leads Poincare conjecture to a new formulation.
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| 关 键 词： | 字定理 Heegaard分解 旋转插入字 应用 拓扑 环柄体 亏格 流形 |
An Application of the Word Theorem on Heegaard Splittings |
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| HE Baihe. An Application of the Word Theorem on Heegaard Splittings[J]. Northeastern Mathematical Journal, 2002, 18(1): 44-48 |
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| Authors: | HE Baihe |
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| Affiliation: | DepartmentofMathematics,JilinUniversity,Changchun,130023 |
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| Abstract: | The word theorem states that x can be denoted as a rotation inserting word of A if x is in the normal closure of A in F(X).As an application of the theorem,in this note a condition that guarantees reducing the genus of Heegaard splitting of 3-manifolds is given,This leads Poincare conjecture to a new formulation. |
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| Keywords: | Word theorem Rotation-inserting word Heegaard splitting |
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