导集运算及其条件的独立性  

The Derived Operator and Independence of Its Conditions

作　　者：吴洪博[1] 龚家安[1] 

机构地区：[1]陕西师范大学 数学与信息科学学院,陕西西安710062

出　　处：《数学的实践与认识》2008年第4期126-131,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10471083);陕西师范大学重点科研基金(995130)

摘　　要：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.

关 键 词：点集拓扑学 拓扑空间 导集 导集运算 

分 类 号：O189.1[理学—数学]