局部仿S闭空间

Some notes on locally S-closed spaces

该文引入局部仿S闭空间的概念,讨论了它的一些性质,如局部仿S闭空间是极不连通的等价条件,局部仿S闭空间与局部仿紧、仿S闭空间、仿H(i)空间的关系、被连续开映射保持等,而且改进了陈必胜的四条定理。

The paper establishes the locally S-closed spaces and discusses some properties of the space, for example, the condition of extremely disconnection, some connection with the locally paracompactness spaces, S-closed spaces and para-H（i）-spaces, and the invariant under continuou S- open mapping. It also generalizes the results given by Chen Bi-sheng.