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.
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)
关键词
拓扑空间
闭包运算
内部运算
子基
topological space, closure operation, interior operation
subbase