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.
出处
《数学的实践与认识》
北大核心
2018年第4期215-223,共9页
Mathematics in Practice and Theory
关键词
LF拓扑空间
EsT-分离性
玩远域
LF topological space
EsT-sepaxation
E~ remote neighborhoods