摘要
结合弱θ-加细空间、θ-加细空间、Lindelff空间以及S-仿紧空间的概念和有关性质,新引入了S-弱θ-Lindelff加细空间和S-θ-Lindelff加细空间.然后在拓扑空间中半开集上研究了S-弱θ-Lindelff加细空间和S-θ-Lindelff加细空间的刻画性质、完备性、映射性质以及两者之间的关系,并得出几个主要结果.如完备的S-弱θ-Lindelff加细空间是S-次仿紧空间;S-弱θ-Lindelff加细空间在闭Lindelff映射下的像是S-弱θ-Lindelff加细空间等.
Combiningθ-refinable spaces with weakθ-refinable spaces,comparing LindelOff spaces with S-paracompact spaces,and studying the conceptions and related properties of them,the new types of spaces are introduced.Namely S-weakθ-LindelOff refinable spaces and S-θ-LindelOff refinable spaces.Based on the conceptions of semi-open set and semi-closed set in topological space,the characteristics and properties of S-weak-LindelOff and S-θ-LindelOff refinable spaces are investigated,then several main results are obtained.Complete S-weak-LindelOff refinable spaces are S-subparacompact spaces.The closed LindelOff mapping of S-weakθ-LindelOff refinable space is also refinable.
作者
孙文
何兆容
SUN Wen;HE Zhao-rong(College of Management Science,Chengdu University of Technology,Chengdu 610059,China;No.3 High School in Panzhihua,Sichuan Province,Panzhihua 617000,China;College of Science,Shantou University,Shantou 515063,China)
出处
《山东理工大学学报（自然科学版）》
CAS
2018年第3期17-20,共4页
Journal of Shandong University of Technology:Natural Science Edition
基金
安徽省高等学校省级优秀青年人才基金项目(2010SQRL158)
