某些广义度量空间上的映射定理

Mapping Theorems on Some Generalized Metric Spaces

讨论Nagata空间、D_0空间及有点可数基空间上的映射,证明了在一定条件下,Nagata空间,D_0空间、有点可数基空间的全原像仍为Nagata-空间,D_0空间、有点可数基空间。

It is discussed the mappings on Nagata-spaces, D_0-spaces, space having point-countable bases, and showed that Nagata-spaces, D_0-spaces, spaces having point-countable base are inversely preserved by perfect mappings under some conditions.