收敛性、闭性与拓扑空间  

Convergence,Closedness and Topological Space

作　　者：李云霞[1] 刘高杰[1] 周琴[1] 

机构地区：[1]成都理工大学管理科学学院,四川成都610059

出　　处：《成都大学学报（自然科学版）》2014年第4期331-333,共3页Journal of Chengdu University（Natural Science Edition）

摘　　要：根据开集定义拓扑空间的知识、闭集的定义以及收敛性的应用知识,分析了用点列的收敛性来定义闭集,从而定义拓扑空间的方式,并将这种方式应用于具体例子,认为可用闭集来定义拓扑空间.This paper discusses the knowledge of topological space,the definition of closed sets and the application knowledge of convergence according to open set. We analyze how to define the closed sets by the convergence of point sequence in order to define the way of topological space,and apply this way to specific examples,and compare it with the commonly used definition ways in the existing materials. We conclude that the closed sets can be used to define the topological space.

关 键 词：拓扑空间 闭集 收敛性 

分 类 号：O177.3[理学—数学]