摘要
本文讨论了点星仿紧和点星亚紧空间,证明了:正则空间是仿紧的当且仅当它是θ—可加细和点星仿紧的;点星仿紧空间是离散可膨胀的;点星亚紧空间是点态集态正规的.
We discussed the piontwise star —paracompact spaces and pointwise star-metacompact spaces, and proved that a regular space is paracompact if and only if it is θ-refinable and pointwise star-paracompact. every pointwise star-paracompact space is discretly expandable , every pointwise star-metacompact space is pointwise collectionwise normal.
出处
《苏州大学学报（自然科学版）》
CAS
1993年第1期20-23,共4页
Journal of Soochow University(Natural Science Edition)
关键词
点星仿紧
点星亚紧
拓扑空间
C—refinement
pointwise star—paracompact
pointwise star—metacompact
