LF拓扑空间的E_sT-分离性  

On the E_sT-Separations in LF Topological Space

作　　者：安艳 韩刚[1] 斯钦孟克[1] 

机构地区：[1]内蒙古师范大学数学科学学院

出　　处：《数学的实践与认识》2018年第4期215-223,共9页Mathematics in Practice and Theory

摘　　要：为了进一步研究LF拓扑空间的分离性，利用Es远域将LF拓扑空间的T-分离性的概念进行了推广，即得EsT-分离性．给出了EsT-分离性的-些等价刻画，讨论了EsT-分离性之间的联系及其基本性质（如L-好的推广，Es同胚不变性等），最后得出了T-分离性与EsT-分离性的关系．In this paper, the notions of T-separations in LF topological space are generalized by E8 remote neighborhoods as a way to further study the separations in LF topological spaces, which results in EsT-separations. In addition, this paper also discusses some equivalent descriptions of, the correlations among E^T-separations and their basic properties（such as L-good generalizations, and Finally, this paper indicates how T- separations E8 homeomorphic invariant property） are associated with EsT-separations.

关 键 词：LF拓扑空间 EsT-分离性 玩远域 

分 类 号：O189.11[理学—数学]