heredity

In this paper,the concept of weakly θ-connected space is given,and its topological properties is preserved,Finally,the properties of finitely productive heredity are studied.

给出弱θ-连通空间的概念,证明了弱θ-连通性是拓扑不变性,有限可积性,可遗传性等性质。

So a theory is given that S-closed property is opened genetic property.

对拓扑空间的开子空间的性质进行了研究,得出了定理1和定理2,并着重对S 闭空间的遗传性进行了探索,获得定理3和定理4,从而得出S 闭性是正则开可遗传性。