| 曲面上曲线复形中边的距离 |
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| 引用本文： | 史秀英,雷逢春.曲面上曲线复形中边的距离[J].数学研究及应用,2011,31(6):1092-1096. |
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| 作者姓名： | 史秀英 雷逢春 |
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| 作者单位： | 赤峰学院继续教育部, 内蒙古 赤峰 024000;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(Grant No.10931005). |
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| 摘 要： | Let S be a closed orientable surface of genus g ≥ 2,and C（S）the curve complex of S.In the paper,we introduce the concepts of 2-path between edges in C（S）,which can be regarded as an analogue to the edge path between vertices in C（S）.We show that C（S）is 2P-connected,and the 2-diameter of C（S）is infinite.
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| 关 键 词： | 曲线 距离 表面 路径 曲面 顶点 直径 |
| 收稿时间： | 2011/4/22 0:00:00 |
| 修稿时间： | 9/1/2011 12:00:00 AM |
Distance of Edges in the Curve Complex of a Surface |
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| Xiu Ying SHI and Feng Chun LEI.Distance of Edges in the Curve Complex of a Surface[J].Journal of Mathematical Research with Applications,2011,31(6):1092-1096. |
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| Authors: | Xiu Ying SHI and Feng Chun LEI |
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| Institution: | 1. The College of Continuing Education, Chifeng University, Inner Mongolia 024000, P. R. China
2. School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | Let $S$ be a closed orientable surface of genus $g\geq 2$, and $C(S)$ the curve complex of $S$. In the paper, we introduce the concepts of 2-path between edges in $C(S)$, which can be regarded as an analogue to the edge path between vertices in $C(S)$. We show that $C(S)$ is $2P$-connected, and the 2-diameter of $C(S)$ is infinite. |
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| Keywords: | curve complex distance of vertices 2-path between edges 2-diameter of $C(S)$ |
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