摘要
建立了S-urysohn闭空间关于su-闭集的特征定理并由此得到正则的S-urysohn闭空间是紧空间。同时也证明,极不连通的T_2空间X为S-urysohn闭空间的充要条件是X上的任何一个网都有su-收敛子网。
In this paper a characteristic theorem of S-urysohn closed space is given.It is proved that the regularly closed S-urysohn spaces are compact spaces,that an extremely disconnected Hausdorff space is a S-urysohn closed space,if and only if every net in it has a subnet for su-converge-nce.
出处
《石油大学学报(自然科学版)》
CSCD
1991年第5期106-108,共3页
Journal of the University of Petroleum,China(Edition of Natural Science)
关键词
闭空间
S-urysohn
su-闭集
S-urysohn closed space
su-closed set
su-convergence
Extremely disconnected space