关于submeso紧空间的映射定理

Mapping Theorems on Submeocompact Spaces

证明了在正则空间中闭Lindelof映射保持且逆保持submeso紧性,这改进了林寿关于正则空间完备映射保持且逆保持submeso紧性这一结果;同时我们引用一个反例说明原象空间的正则性是必要的.

In the paper, we prove that closcd Lindelof mappings preserve and inversely preserve submcsocompactness on regular spaces, which improvcs the samc result of Lin shou about perfect mappings.