2008•Wanxi Xueyuan xuebaoRequires access
Some Properties of Perfectly Base-paracompact Spaces
Zhou Jianxin
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Abstract
The notion of perfectly base-paracompact spaces is introduced and the following results are proved:(1) Let f:Z→Y be a perfect mapping,if Y is a perfectly base-paracompact space,then X is perfectly base-paracompact;(2)Let X is a perfectly base-paracompact.If Y is compact,then X×Y is perfectly base-paracompact;(3)Let Z is perfectly base-paracompact,if Y is locally compact,then X×Y is base-paracompact.