可数μ-弱仿紧空间上的性质探讨

The Properties of the Countablyμ-meta-compact Space

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.