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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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