局部紧Lindelf空间的映象

On the images of locally compact Lindelof spaces

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.