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.
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
关键词
半开集
半拓扑线性空间
S-分离性
semi-open sets
semi-topological linear spaces
S-separability
