LF拓扑空间的次E_sT_i(i=1,2)分离性  

On the Sub-E_sT_i(i=1,2) Separations in LF Topological Spaces

作　　者：安艳 韩刚[1] 斯钦孟克[1] AN Yan;HAN Gang;SI Qin-meng-ke(College of Mathematics Sciences,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《模糊系统与数学》2018年第4期82-89,共8页Fuzzy Systems and Mathematics

摘　　要：为了进一步研究LF拓扑空间中的分离性,利用Es远域在LF拓扑空间中定义次E_sT_i(i=1,2)分离性的概念,并讨论它们的一些基本性质(如遗传性,可乘性,弱Es同胚不变性等),从而得出了范畴CCEsT2是具有积与上积的范畴。此外,刻画了范畴CCE_sT_i(i=1,2)中的严格满态射和严格单态射,从而得出了范畴CCE_sT_i(i=1,2)是范畴CLTop的满反射子范畴。In LF topological spaces, sub-E,Ti （i=1,2） separations can actually be defined by using E, remote neighborhood, and some of their basic properties （such as heritability, productivity, weak E, homeomorphic invariant property） can also be respectively discussed, so as to further study the separations in LF topological spaces. Then, it can be concluded that category CCE,T2 belongs to the category with product and coproduct. Alongside that, the extremal epimorphism and extremal monomorphism in category CCEsTi（i =1,2） are then characterized. As such, it can also be concluded that category CCEsTi（i=1,2） belongs to the epireflective subcategory of category CLTop.

关 键 词：LF拓扑空间 次EsTi(i=1 2)分离性 严格满态射 严格单态射 满反射子范畴 

分 类 号：O189[理学—数学]