%0 Journal Article
%T 直线上子集的Hs-拓扑及其应用<br>THE Hs-TOPOLOGY ON A SUBSET IN REAL LINE AND ITS APPLICATIONS
%A 作者
%A 龙伦海
%A 梁莉
%A 单家俊
%J 数学杂志
%D 2017
%X 本文利用s-维Hausdorff测度给出了直线上一个子集E上的Hs拓扑和Hs-连通度的定义.讨论了它们的性质及其应用，解决了紧的s-集在欧氏拓扑下往往不连通的问题.<br>In this paper,by using the s-dimensional Hausdorff measure,we give the concepts of Hs-Topology and Hs-connectivity on a subset in real line,discuss their properties and some applications.In addition,the disconnected problem of a compact s-set under the Euclidean topology is solved
%K 分形 Hausdorff测度 Hs-拓扑 Hs-连通度&lt
%K br&gt
%K fractal Hausdorff measure Hs-Topology Hs-connectivity
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170219&flag=1