半T_2空间和半连续映射的网式刻画

Net Depiction of Semi-T_2 Topological Spaces and Semi-Continuity Functions

在拓扑空间中,采用网的半收敛为工具,对半T2空间和半连续映射进行刻画.主要结果有:x∈(?)当且仅当在A中存在一个半收敛于点x的网;在半T2空间中,网只半收敛于一个半聚点等.

In topological spaces, based upon the semi-convergence of net, semi-T2 Topological Spaces and Se- mi-Continuity are discussed. The main results are as follow, x e A_ if and only if there exits a net semi-conver- gent point in set A; In semi-T2 Topological Spaces, the net has only one semi-convergent point, etc,