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作 者:蔡奇嵘[1]
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.
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