可数μ-弱仿紧空间上的性质探讨  

The Properties of the Countablyμ-meta-compact Space

作　　者：胡星宇 肖经渊 李东行 HU Xingyu;XIAO Jingyuan;LI Dongxing(Guangzhou College of Technology and Business,Guangzhou 510850,Guangdong,China;Guangdong University of Finance,Guangdong Guangzhou 510521,Guangdong,China)

机构地区：[1]广州工商学院基础教学部,广东广州510850 [2]广东金融学院金融数学与统计学院,广东广州510521

出　　处：《惠州学院学报》2020年第3期9-13,共5页Journal of Huizhou University

基　　金：国家自然科学基金青年科学基金(11601393)。

摘　　要：文章在广义拓扑中引入可数μ-弱仿紧空间,证明了满足条件(A~*)的μ-正规广义拓扑空间不是可数μ-弱仿紧空间.此外,给出了可数μ-弱仿紧空间、可数μ-强仿紧空间和条件(A~*)之间的关系.In this paper,the concept of countablyμ-meta-compact space is introduced in generalized topology spaces,and we popularized the conclusions of literature.In addition,we also study the relationships between countablyμ-meta-compact spaces,countablyμ-strongly paracompact spaces and the condition corresponding to condition(A~*)in generalized topological spaces.

关 键 词：广义拓扑 μ-正规空间 可数μ-强仿紧空间 可数μ-弱仿紧空间 

分 类 号：O189.1[理学—数学]