摘要
在半拓扑线性空间的基础上,定义了半拓扑线性子空间、商半拓扑线性空间,讨论了它们的一些性质,给出在一定条件下乘积空间成为半拓扑线性空间的条件.
On the basis of the semi-topological linear spaces,the semi-topological linear subspace and semi-topological linear quotient space were defined,and some natures were discussed.At the same time,the conditions for the product space to become semi-topological linear spaces was given.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2010年第4期346-350,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
内蒙古自然科学基金资助项目(20080404MS0102)
关键词
半开集
半拓扑线性空间
半拓扑线性子空间
乘积空间
商半拓扑线性空间
semi-open set
semi-topological linear spaces
semi-topological linear subspace
product space
semi-topological linear quotient space
