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《Journal of Changchun University》 2009-08
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Notes about some point sets in topological space

SHI Xue-qing,JIN Yu-guang(School of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China)  
Firstly,this article gives a sufficient and necessary condition when a set is a closed one in a topological space,than gets a closure in a topological space and a closed set whose closure is the smallest of all closed sets that contain it when the border set must be a closed one.Secondly,we knew that a derived set must be a closed one in the general metric space,but this conclusion is not necessarily proper in the general topological space,therefore this article mainly gives a sufficient and necessary condition when the derived set is a closed one in the topological space.
【Fund】: 重庆市教委科学研究项目(05JWSK054)
【CateGory Index】: O189.11
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHU Yu-long et al(Mathematics Department of Handan University,Handan,Hebei 056001);Topology Concept in Teams[J];Journal of Anhui Agricultural Sciences;2009-22
2 YANG Xiao-wei,XU Yang (Dept.Appl.Math.,Southwest Jiaotong Univ., Chengdu 610031,Sichuan,China);Group structure in uniform space[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-04
3 HE Yun-chang(School of Mathematics and Computer Science,Chongqing Normal University, Chongqing 400047,China);The New Proof Ways about Two Basic Theories in Topology[J];Journal of Changchun Normal University;2007-04
4 YAN Weijun1, WANG Yangeng1, WEI Guo2 (1.Department of Mathematics, Northwest University, Xian 710069,China;2.Department of Mathematics and Computer Science,University of North Carolina at Pembroke.Pembroke 28372,U.S.A);Some properties of the relative topology[J];Pure and Applied Mathematics;2003-03
5 CAO Jin-wen, HU Can (College of Information Management,Chengdu University of Technology610059,China);On some characterizations of perfect strong paracompact spaces[J];Pure and Applied Mathematics;2004-02
6 ZHANG Da(Department of Mathematics, Ningde Teachers College,Ningde Fujian 352100,China);Spaces with σ weakly hereditarily closure-preserving pair-networks[J];Pure and Applied Mathematics;2004-04
7 WANG Zhao-hai~~(1,2),WU Hong-bo~2(1.College of mathematics and information science,Shaanxi normal University,Xi′an 710062,China;2.Department of mathematics,ankang College,Ankang 725000,China);The method of describing topology by derived operator[J];Pure and Applied Mathematics;2006-02
8 WU Hong-bo DAI Jian-yun LI Hai-xia College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China WANG Zhao-hai Department of Mathematics,Ankang college,Ankang 725000,China;Internal derived sets and internal derived operation[J];Pure and Applied Mathematics;2008-01
9 CAO Jin-wen (College of Information Management, Chengdu University of Technology, China);On some characterizations of hereditable δθ-refinable spaces[J];Journal of Chengdu University of Technology(Science & Technology Edition);2004-03
10 ZHANG Pei-yu(Department of Applied Mathematics Beijing University of Technology,Beijing 100022);Some conclusions of dually discret space[J];Journal of Chengde Teachers' College for Nationalities;2008-02
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