摘要
讨论了拓扑空间上内部运算的性质,并对满足内部运算前三条性质的一类运算,引入一种等价关系,将这些运算进行等价分类,证明了每个等价类中的所有运算导出同一个拓扑,并进一步证明了每个等价类中仅有一个是内部运算且是等价类中的最小元.
The properties of interior operation in topological space are discussed, and an equivalent relation which classifies the operation satisfying the first three properties is introduced. It is proved that the same topology is derived for all operations in each equivalent class. Further proves that there is only one interior operation that is the minimum element in each equivalent class.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第2期193-195,共3页
Mathematics in Practice and Theory
关键词
拓扑空间
内部
内部运算
topological space
interior
interior operation
