关于连通空间原像的注记  

A Note on Preimages of Connected Spaces

作　　者：吴闽江 

机构地区：[1]宁德职业技术学院,福建福安355000

出　　处：《莆田学院学报》2008年第5期28-29,42,共3页Journal of putian University

摘　　要：刻画出仿紧、局部紧、连通空间的等价性质,并举例说明连通的第一可数空间可以不是仿紧、局部紧、连通空间的连续映像,从而否定了连通的k空间是仿紧、局部紧、连通空间的商空间的说法。In this paper, a characterization of paracompact, locally compact and connected spaces is given, and an example which shows that a connected and first-countable space can not be a continuous image of a paracompact, locally compact and connected space is constructed. Therefore the question is answered negatively.

关 键 词：连通空间 局部紧空间 仿紧空间 LINDELOF空间 K空间 

分 类 号：O189.11[理学—数学]