摘要
对于一般拓扑空间,证明了若该空间每一个开复盖都有一个开的星形加细,则此空间每一个点有限开复盖都有一个φ-离散的开的闭包加细,并证明具有可数的加细的T_4空间的每一个闭集均为零集。
This paper proves that if every open cover of a topological space X has an open star -. refinement , then every open point - finite cover of X has a σ - discrete open closure refinement. In addition, if the space X has a countable refinement, then every closed set in X is a zero set.
出处
《广西师范大学学报（自然科学版）》
CAS
1991年第2期37-40,共4页
Journal of Guangxi Normal University:Natural Science Edition
关键词
拓扑空间
加细
复盖
cover
refinement
topological space
