关于仿紧空间的原象

On Inverses Images of Paracompact Spaces

本文利用ασ仿紧子集的概念,给出了在正则空间条件下,仿紧空间在连续闭映射下的原象是仿紧空间的一个充分条件．这一结果,统一推广了高国士教授与陈必胜教授在两篇论文中的结果．

In this note, by using the concept of ασ-paracompact sets, we give a sufficient condition for a regular inverse image of a paracompact space under a continuous closed mapping to be paracompuct. This result generalizes the correspondent results given by G. Gao and B. Chen.