纺织高校基础科学学报2017，Vol.30Issue(3)：343-351,9.DOI:10.13338/j.issn.1006-8341.2017.03.009
LF拓扑空间中加强的EsTi(i=1,2,3,4)与EsT31/2分离性
On the strong EsTi (i =1,2,3,4) separations and EsT31/2 separations in LF topological spaces
摘要
Abstract
In LF topological spaces,Es Ti (i =1,2,3,4) separations can actually be strengthened through the setting up of P(x)=1 or Q(x)=1 for (A)x∈X (P and Q hereto are both more common E s remote neighborhoods) and more common LF point x λ,then the notions of strong Es Ti (i =1,2,3,4) separations are defined,so as to further study the separations in LF topological spaces.With Lvalued Zadeh functions of Es continuity,Es-completely regular spaces can be defined,and Es T31/2 separations are then introduced.In addition,in strong Es Ti (i =1,2,3,4) separations and Es T31/2 separations,some of their basic properties (such as L-good generalizations,weak Es homeomorphic invariant property,heritability and productivity) are respectively discussed.Alongside that,it can also be concluded that CEs T31/2 belongs to the category with product and coproduct.关键词
LF拓扑空间/Es远域/分离性/满子范畴Key words
LF topological space/Es remote neighborhood/separations/full subcategory分类
数理科学引用本文复制引用
安艳,韩刚,斯钦孟克..LF拓扑空间中加强的EsTi(i=1,2,3,4)与EsT31/2分离性[J].纺织高校基础科学学报,2017,30(3):343-351,9.基金项目
内蒙古自治区研究生科研创新资助项目(S20161013501) （S20161013501）
