摘要
建立弱形式的局部Lindelf空间的开映射定理和完备逆映射定理,阐明了局部Lindelf的仿紧空间与局部可分度量空间的内在联系。
In this paper Some mapping properties of ocally Lindelf paracompact spaces are dis-cussed.The main results are,for a regular space X. (1)X is a locally Lindelf space if and only if X is a bi—quotient image of a locallyLindelf paracompact space. (2)If f is a closed mapping from a paracompact space X onto a regulay space Y,thenYis a locally Lindelf space if and only if there exists a locally Lindelf closed subspace Zof X such that f|z:Z→Y is a weakly perfect mapping. (3) X is a locally Lindelf paracompact space if and only if X is a weakly perfect pre—image of a locally separable metric space.
出处
《河南科学》
1994年第2期94-98,共5页
Henan Science
基金
国家自然科学基金
关键词
仿紧空间
度量空间
局部L空间
Locally Lindelf space Paracompact space Metric space Open map- ping Weakly perfect mapping