闭包运算、内部运算与子集族确定的拓扑何时相同  

When do the Topologies Determined by the Closure Operation,Interior Operation and Subset Family Agree

作　　者：邓义华[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《衡阳师范学院学报》2007年第6期35-37,共3页Journal of Hengyang Normal University

基　　金：湖南省自然科学基金资助项目(06JJ5001)

摘　　要：首先引入了拓扑空间的子集关于某个子基的内部和闭包的定义,然后讨论了它们的一些性质;在此基础上得出了闭包运算、内部运算与子集族确定的拓扑相同的条件。The definitions of interior and closure of a set about a subbase for a topological space are introduced in this paper, and then some properties of them are discussed ; the agreeable condition of the topology determined by the closure operation, interior operation and subsetfamily is gained.

关 键 词：拓扑空间 闭包运算 内部运算 子基 

分 类 号：O189.1[理学—数学]