主要讨论了南半层空间上的闭映射性质,证明了k半层空间的闭映像若是不含有闭子空间同胚于Sω1(Sω)的岛空间,则该闭映射是边缘s映射(边缘紧映射)最后给出例子表明弱层空间未必是层空间,否定回答了关于层空间的一个问题.
The closed mapping properties of k semistratifiable spaces are discussed. It is shown that every closed mapping on k semistratifiable spaces is a boundary s mapping (resp. boundary compact mapping) if the image is a k space and contains no closed copy of Sωl (resp. Sω). Finally, an example is given to show that a weak stratifiable space is not necessarily a stratifiable space. Thus, a question about stratifiable spaces is negatively answered.