标题:
以对轮图为缩影图式流形的同胚类数The Homeomorphic Class number of Graphlike
Manifold with Contraction Round Diagrams
作者:
平麟, 陈胜敏, 钱有华
关键字:
图式流形, CW复形, 粘附映射, 对轮图, Burnside引理Graphlike Manifold; CW Complex; Attaching Map; Round Diagram; Burnside’s Lemma
期刊名称:
《Pure Mathematics》, Vol.2 No.3, 2012-07-27
摘要:
对于某些自然数n，通过分类法可以得出以对轮图Wn 为缩影的所有图式流形Wn*的同胚类的类数，并且用Matlab软件算出Wn*中每个图式流形的伴随矩阵的不同特征多项式个数，得出Wn*同胚类数的下界。对于所有的自然数n，利用Burnside引理给出了求Wn*的同胚类数的上界的一个方法。
This article obtains the number of homeomorphic class of Wn*by means of classification for some natural numbers n. It uses Matlab to compute the adjoint matrix of Wn*and calculate the number of characteristic polynomial, and then get the lower bound of the number of homeomorphic class of Wn*. For all natural numbers, it puts forward a method to calculate the upper bound of the number of homeomorphic class by using Burnside’s lemma.