带有三个洞的球面的弧复形中的距离  

The distance in the arc complex for the three holed sphere

作　　者：黄晓晓[1] 雷逢春[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《黑龙江大学自然科学学报》2009年第2期173-177,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10571034)

摘　　要：将紧致平环中的曲线复形的定义推广到带有三个洞的球面P上,称这个曲线复形为曲面P的弧复形,研究曲面P中的本质弧和P的弧复形中的距离,证明了以下的一个结果:若P是一个带有三个洞的球面,a,b为P的弧复形中的任意两个顶点,则dc(a,b)≤4.Firstly, the definition of the curve complex for a compact annulus, which is called arc complex of the surface P, is generalized to a there holed sphere P. Secondly, we study the essential arcs of the surface P and the distance in the acr complex of this surface. Finally, it is shown that if P is a there holed sphere, and a and b are distinct vertices of the acr complex, then dc （a, b）≤4.

关 键 词：曲线复形 孤复形 本质弧 

分 类 号：O189.1[理学—数学]