浅议一般拓扑空间中集合之间的关系  

Discussion on Relations among Sets in General Topological Space

作　　者：金惠兰[1] 

机构地区：[1]天津农学院基础科学系,天津300384

出　　处：《天津农学院学报》2008年第2期48-50,共3页Journal of Tianjin Agricultural University

摘　　要：在一般拓扑空间中讨论了抽象集合的概念,研究了其性质,得出如下结论,即:所有的δ-开集都是开集,所有开集又都是α-开集,α-开集是半开集且预开集,半开集或预开集是β-开集,反之则不成立。Inthe general topological space, the abstract set concept was discussed, and its nature was studied, then a conclusion was obtained. It is that the all δ-open sets are open sets, all open sets are α-open sets, α-open sets are semi-open sets and preopen sets, semi-open sets or preopen sets are β-open sets. On the contrary, it＇s untenable.

关 键 词：半开集 预开集 α-开集 β-开集 δ-开集 

分 类 号：O189.1[理学—数学]