半拓扑线性空间的一些性质  

Some Properties of Semi-topological Linear Spaces

作　　者：吴大勇[1] 

机构地区：[1]内蒙古财经大学统计数学学院,内蒙古呼和浩特010070

出　　处：《甘肃联合大学学报（自然科学版）》2013年第3期12-14,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：引入了半拓扑线性空间的概念,并得到了半拓扑线性空间中半开集、局部S-基、半拓扑线性有界集等方面的一些基本结果.在此基础上讨论了半拓扑线性空间中的S-分离性,给出了一些半拓扑线性空间中新的性质.Introducing the definition of Semi-toplogical linear spaces and notions of Pre-semi-continuous mapping in general topological spaces,some results about Semi-open sets,Pre-semi-continuous mapping,local S-base,STL-bounded set,S-compact set were obtained.Furthermore,S-separability in the semi-toplogical linear spaces was discussed,some new properties of Simi-topologiccal linear spaces were given.

关 键 词：半开集 半拓扑线性空间 S-分离性 

分 类 号：O177.3[理学—数学]