局部紧Lindelf空间的映象  

On the images of locally compact Lindelof spaces

作　　者：孔庆钊[1] 陈海燕[2] 张夏苇[3] 郑顶伟[2] 

机构地区：[1]集美大学理学院,福建厦门361021 [2]广西大学数学与信息科学学院,广西南宁530004 [3]厦门理工学院数理系,福建厦门361005

出　　处：《纯粹数学与应用数学》2007年第3期381-387,共7页Pure and Applied Mathematics

摘　　要：主要借助于紧覆盖映射、闭映射和商映射讨论了局部紧Lindelf空间的像空间,推导出具有某些特定性质的k系空间的一些刻画,引入强k系的概念给出了局部紧Lindelf空间和仿紧局部紧空间的一种新的等价刻画.Some discussions on images of locally compact Lindelof spaces are presented by means of compact covering mappings, closed mappings, and quotient mappings, and some characterizations are given to the spaces with a kind of spaces with k system. In particular,it shows that several new necessary and sufficient conditions of locally compact Lindelof spaces and paracompat locally compat spaces can be proved in terms of giving the concept of strong k system.

关 键 词：紧覆盖映射 闭映射 商映射 k系 强k系 

分 类 号：O189.1[理学—数学]