| 广义的Sierpinski地毯上的一类Whitney临界集 |
| |
| 引用本文： | 刘小弟.广义的Sierpinski地毯上的一类Whitney临界集[J].阜阳师范学院学报(自然科学版),2009,26(1):25-27. |
| |
| 作者姓名： | 刘小弟 |
| |
| 作者单位： | 安徽工业大学,数理学院,安徽,马鞍山,243002 |
| |
| 摘 要： | 对广义的Sierpinski地毯进行了研究，采用递推的方法，在其上构造一类连通集合，Hausdorff维数为S=ln（3^0＋3^1＋…＋3^n）/ln 3^n,n≥1．并且证明这些连通集均为whitney临界集．从而得到不是Whithey临界集自广义Sierpinski地毯可以包含Whitney临界集．
|
| 关 键 词： | Whitney临界集 广义Sierpinski地毯 Hausdorff维数 连通集 |
A class of whitney sets on the generalized Sierpinski carpets |
| |
| LIU Xiao-di.A class of whitney sets on the generalized Sierpinski carpets[J].Journal of Fuyang Teachers College:Natural Science,2009,26(1):25-27. |
| |
| Authors: | LIU Xiao-di |
| |
| Institution: | LIU Xiao-di (School of Mathematics ＆Physics , Anhui University of Technology, Ma＇anshan Anhui 243002,China) |
| |
| Abstract: | To study the generalized sierpinski carpets by using the recursive method,we constructed a class of connected sets,whose Hausdorff dimension were S=ln(30+31+…+3n)/ln 3n,n≥1.When n was more than 1,all the connected sets were Whitney′s critical sets.The generalized Sierpinski carpet which was not Whitney′s critical set could contain Whitney′s critical set was given in this paper. |
| |
| Keywords: | Whitney critical set generalized Sierpinski carpet Hausdorff dimension connected set |
| 本文献已被 维普 万方数据 等数据库收录！ |
