关于弱－θ－加细空间的闭L原象

On Closed-Lindeof Inverse Images of Weak-θ-RefinableSpaces

中文关键词:  闭L映射  弱－θ－加细  弱－δθ－加细。

中文摘要:

      本文证明了，当定义域空间是正则空间时，弱－θ－加细性在闭Ｌ映射下是逆保持的，并给出例子说明，去掉定义域空间的正则性，上述结论不成立。

英文摘要:

      In this paper,we prove that weak Refinability is inversely preserved under closed-Lindelof mapping with regular domain.We give an example to show that if the domainis nonregular,the above conclusion may be incorrect.