基-次亚紧空间  

Base-submetacompact spaces

作　　者：蔡奇嵘[1] 

机构地区：[1]东华理工大学理学院,抚州江西344000

出　　处：《兰州理工大学学报》2012年第6期149-150,共2页Journal of Lanzhou University of Technology

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.

关 键 词：基 基-次亚紧 点有限 加细 完全映射 

分 类 号：O189.11[理学—数学]