正则空间与Hausdorff空间的等价刻划  

Some Properties of Regular Space and Hausdorff Space

作　　者：周淑云[1] 

机构地区：[1]青海师范高等专科学校数学系

出　　处：《青海师范大学学报（自然科学版）》1999年第4期19-21,共3页Journal of Qinghai Normal University(Natural Science Edition)

摘　　要：本文在拓扑空间中引入θ一开集与θ一闭集的概念，讨论了Ｔ２空间和正则空间的性质，得到了拓扑空间是Ｔ２空间当且仅当每一单点集是θ一闭集以及拓扑空间是正则空间当且仅当每一闭集是θ一闭集。In this paper,θ- open and θ-closed are introduced in Topological spaces. We discuss some properities of regular spaces and Hausdorff spaces. And we obtain a topological space X is regular space if and only if each closed subset B of X is θ-closed, and a topological space X is Hausdorff space if and only if {x} = {x}_θ^-, for all x( X.

关 键 词：拓扑空间 正则空间 点集拓扑学 豪斯道夫空间 

分 类 号：O189.11[理学—数学]