导集运算及其条件的独立性

The Derived Operator and Independence of Its Conditions

对点集拓扑学中由导集运算决定拓扑的方法进行了讨论,给出了导集运算的定义,导集运算决定拓扑定理,并讨论了导集运算中条件的相互独立性.进一步完善了点集拓扑学中有关导集概念的内容.

We have investigated the method of describing topology in point-set topology by derived operator. In this paper, we have given the definition of derived operator, the theorem of determining topological space by derived operator, the independence of derived operator＇s conditions. This work completes the content relative to concept of derived set in topology.