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.
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)
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)。
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
generalized topology
μ-normal spaces
countablyμ-strongly paracompact spaces
countablyμ-meta-compact spaces
