在所考虑空间是完全正则空间的前提下，本文给出局部连通空间的一个特性。
Under the condition of space X being regular we give out the property of space X being locally connected.
本注记给出局部S-闭空间X是极不连通的充要条件是X中每个相对X是S-闭的半正则于集是闭集。
Locany S-Closed Space is extremally disconnected if and only if every semi-regular S-closed set relative to X is Closed set.
讨论了赋予局部有限拓扑的非空闭子集超空间的连通性，还引入了一个对讨论局部有限超拓扑有用的基数函数，称为离散度。
The connectedness of the non-empty closed subsets hyperspace with locally finite topology is discussed and a cardinal function called discrete degree is introduced.
讨论了赋予局部有限拓扑的非空闭子集超空间的连通性，还引入了一个对讨论局部有限超拓扑有用的基数函数，称为离散度。
The connectedness of the non-empty closed subsets hyperspace with locally finite topology is discussed and a cardinal function called discrete degree is introduced.
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