上界交空间的分离性  

The Separation of Top-intersection Spaces

作　　者：高小燕[1] 

机构地区：[1]榆林学院数学系,陕西榆林719000

出　　处：《榆林学院学报》2013年第4期54-57,共4页Journal of Yulin University

摘　　要：通过研究上界交空间的一种分离性,引入了上界交空间的子空间、商空间、积空间及交T0空间等概念;其次,找到了刻画这种分离性的两个等价条件,证明了分离性是可遗传的,有限可积的;最后,得到了交范畴T0的两个定理.The separation of top-intersection spaces is studied in this paper.Firstly,the concepts of subspace,quotient space,product space and hereditary are introduced.Secondly,two equivalent characterizations of the separate proporty are obtained,it is proved that separation is hereditary and finite production.Finally two theorems of intersection category are obtained.

关 键 词：上界交空间 反射子范畴 满态射 

分 类 号：O189.1[理学—数学]