摘要
引入基-次亚紧空间的概念,并且获得以下结果:若X为基-次亚紧的,Y为X的闭子集,ω(X)=ω(Y),则Y为基-次亚紧的;基-次亚紧空间在完全映射下的逆像仍为基-次亚紧空间;若X为基-次亚紧空间,f:X→Y为即开又闭有限到一的映射,则Y为基-次亚紧空间.
The notion of base-submetacompact spaces was introduced and the totlowmg results were oo- tained： if X is a base-submetacompact space, Y is a closed subset of X, and ω（X）=ω（Y）, then Y will be a base-submetacompact space. Under perfect mapping, the inverse image of base-submetacompact space will still be a base-submetacompact space. If X is a base-submetacompact space, f： X→Y is an open as well as a closed finite-to-one mapping onto Y, then Y will be a base-submetacompact space.
出处
《兰州理工大学学报》
CAS
北大核心
2012年第6期149-150,共2页
Journal of Lanzhou University of Technology
关键词
基
基-次亚紧
点有限
加细
完全映射
base
base-submetacompact
point-finite
refinement
perfect mapping
