拓扑空间中的半弱连续映射及其性质  

Semi-weakly Continuous Mapping and Its Properties in Topological Spaces

作　　者：陈舒婷 陈水利[1] 蔡璐蔚 刘伟权 CHEN Shuting;CHEN Shuili;CAI Luwei;LIU Weiquan(Chengyi University College,Jimei University,Xiamen 361021,China;School of Information Engineering,Jimei University,Xiamen 361021,China;School of Informatics,Xiamen University,Xiamen 361005,China;Fujian Key Laboratory of Sensing and Computing for Smart Cities,Xiamen 361005,China)

机构地区：[1]集美大学诚毅学院,福建厦门361021 [2]集美大学信息工程学院,福建厦门361021 [3]厦门大学信息学院,福建厦门361005 [4]福建省智慧城市感知与计算重点实验室,福建厦门361005

出　　处：《集美大学学报（自然科学版）》2020年第4期311-316,共6页Journal of Jimei University：Natural Science

基　　金：福建省教育厅中青年教师教育科研项目(JT180884)。

摘　　要：在拓扑空间中引入半弱连续映射概念,研究半弱连续映射的等价条件及其基本性质。系统讨论拓扑空间中半弱连续映射与连续映射、半连续映射、弱连续映射和弱半连续映射之间的关系。In this paper,the concept of semi-weak continuous mapping in topological spaces was introduced.The equivalent conditions and basic properties of semi-weak continuous mapping were studied.The relations between semi-weak continuous mapping and continuous mapping,semi-continuous mapping,weak continuous mapping and weak semi-continuous mapping in topological spaces were systematically discussed.

关 键 词：半开(闭)集 半连续映射 弱连续映射 弱半连续映射 半弱连续映射 

分 类 号：O189.13[理学—数学]