数学杂志2017，Vol.37Issue(2)：401-408,8.
直线上子集的Hs-拓扑及其应用
THE Hs-TOPOLOGY ON A SUBSET IN REAL LINE AND ITS APPLICATIONS
摘要
Abstract
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.关键词
分形/Hausdorff测度/Hs-拓扑/Hs-连通度Key words
fractal/Hausdorff measure/Hs-Topology/Hs-connectivity分类
数理科学引用本文复制引用
龙伦海,梁莉,单家俊..直线上子集的Hs-拓扑及其应用[J].数学杂志,2017,37(2):401-408,8.基金项目
海南省自然科学基金资助(113003) （113003）
国家自然科学基金资助(11461016). （11461016）
