三类纽结连通和的几个重要性质  

Several important properties of connected sums of knots of three classes

作　　者：王树忠[1] 

机构地区：[1]哈尔滨商业大学基础科学学院,哈尔滨150076

出　　处：《哈尔滨商业大学学报（自然科学版）》2007年第4期454-456,共3页Journal of Harbin University of Commerce：Natural Sciences Edition

摘　　要：在S3中对于任何纽结K都有t(K)≤g1(K)≤h(K)≤t(K)+1成立.基于纽结K的隧道数、1-桥亏格和h-亏格三个几何不变量之间的这种关系,将S3中的纽结定义为p纽结、q纽结和r纽结三类.连同σ纽结,得到了这些纽结连通和的一些重要性质.It is well known that for any knot in S^3, t（K）≤g1（K）≤h（K）≤t（K）＋1 holds. Based on the relations among these geometrical invariants i.e. tunnel number, 1 - bridge genus and h - genus of knot, the knots in S3 are defined three classes ： p knot, q knot and r knot. Some important propeties of connected sums among knots of three classes with σ knot are obtained .

关 键 词：Heegarrd分解 遂道数 连通和 纽结补 

分 类 号：O189.21[理学—数学]