| 纽结的n-Gordian复形 |
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| 引用本文： | 张恺,杨志青. 纽结的n-Gordian复形[J]. 数学年刊A辑(中文版), 2019, 40(4): 443-448 |
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| 作者姓名： | 张恺 杨志青 |
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| 作者单位： | 江西财经大学统计学院, 南昌 330013.,大连理工大学数学科学学院, 辽宁 大连 116024. |
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| 摘 要： | 定义了纽结的n-Gordian复形,这是纽结Gordian复形的一种推广,并证明了当n为正偶数时,对任意纽结K和任意正整数r,存在一个包含K且共含r个纽结的集合,使得此集合中任意两个纽结的n-Gordian距离为1.
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| 关 键 词： | Knot $n$-Move $n$-Gordian distance $n$-Gordian complex |
| 收稿时间： | 2017-11-21 |
The n-Gordian Complex of Knots |
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| ZHANG Kai and YANG Zhiqing. The n-Gordian Complex of Knots[J]. Chinese Annals of Mathematics, 2019, 40(4): 443-448 |
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| Authors: | ZHANG Kai and YANG Zhiqing |
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| Affiliation: | School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China. and School of Mathematical Sciences, Dalian University of Technology, Dalian116024, Liaoning, China. |
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| Abstract: | In this paper, the $n$-Gordian complex of knots is defined which isan extention of the Gordian complex of knots. The authors show that if $ngeq2$ and $n$is even, then for any knot $K$ and any positive integer $r$, there is a finite set ofknots of size $r$ containing $K$, such that the $n$-Gordian distance between any twoknots in this set is 1. |
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| Keywords: | Knot $n$-Move $n$-Gordian distance $n$-Gordian complex |
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