超空间上超星覆盖的若干性质研究  

Study of Some Properties of Supra Star Covering in Supra Topological Space

作　　者：温然 张国芳[1] WEN Ran;ZHANG Guo-fang(College of Mathematics,Jilin Normal University,Siping Jilin 136000,China)

机构地区：[1]吉林师范大学数学学院

出　　处：《佳木斯大学学报（自然科学版）》2019年第5期842-844,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：在一般拓扑空间星覆盖的基本性质的基础上,研究超拓扑空间上超星覆盖的若干性质.给出了超星紧空间、超K-星紧空间、超星lindelf空间及超C-星紧空间的定义.并利用遗传性质、S*连续映射下像的性质和真遗传性质,证明超星紧空间和超星lindelf空间的遗传性及超-K星紧空间和超C-星紧空间的映射性质.得出了超K-星紧空间在S*连续映射下的像是超-K星紧的,超星紧空间的超闭子集是超星紧的和超星lindelf空间具有真遗传性质等主要结论.On the basis of the properties of the coverage of stars in general topological space, some properties of the coverage of superstars on super topological spaces are studied. We give the notion of supra star compact spaces, supra -star compact spaces, supra stra-lindel f spaces and supra -star compact spaces. Using the properties of image in super continuous mapping and heritability and true heredity, it proved the mapping properties of supra -star compact spaces and supra -star compact spaces and superstar compact spaces and superstar lindel f spaces have hereditary. Got the super, super -star compact spaces in the image under super continuous mapping is super -star compact spaces, super closed subset of superstar compact space is superstar compact and superstar lindeL f space has some main conclusions, such as true genetic property and so on.

关 键 词：超星紧空间 超K-星紧空间 超星lindelf空间 超C-星紧空间 

分 类 号：O189[理学—数学]