拓扑空间中强半子集的若干问题  

Some Problems of Strong Semi-subset in Topological Spaces

作　　者：薛艳霞[1] 斯钦孟克[1] 宋丽霞[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2007年第3期265-269,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古师范大学青年科研基金项目(QN06042)

摘　　要：在拓扑空间中引入强半内部、强半闭包和强半边界等强半子集概念,通过与拓扑子集、半拓扑子集的相关性质进行对比,研究了强半子集的若干性质.对一般拓扑空间中Kuratowski十四集定理进行研究和推理,证明了关于强半子集的两个定理.The concepts,including strong semi-interior, strong semi-closure and strong semi-boundary, were introduced in topological spaces. By comparison of subset and semi-subset, some properties of strong semi-subset were discussed. Two theorems about strong semi-subset were proved through further research and generalization on Kuratowski＇s 14 Sets Theorem in general topological spaces.

关 键 词：强半内部 强半闭包 强半边界 

分 类 号：O159[理学—数学]