Lω-空间中的ω-Urysohn分离性  

ω-Urysohn Separation in Lω-spaces

作　　者：谢加良[1,2] 陈水利[2] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082 [2]集美大学理学院,福建厦门361021

出　　处：《模糊系统与数学》2012年第5期41-47,共7页Fuzzy Systems and Mathematics

基　　金：福建省自然科学基金资助项目(2011J01013)

摘　　要：在Lω-空间中引入分子网和理想的ωθ*-极限点、ωθ*-聚点等概念,证明ω-Urysohn空间中分子网和理想的ωθ*-极限点均唯一等特征性质,并证明ω-Urysohn分离性是可ω-遗传的,在(ω1,ω2)-同胚和(ω1,ω2)θ-同胚映射下是拓扑不变的,在满层条件下是任意可乘的,而且是R.Lowen意义下好的推广等性质。In this paper, the concepts of ω-Urysohn seperation axiom, ω-limit point （ω-cluster point） of molecular nets and ideals are defined. The .characterizations of ω-Urysohn seperation are systematically discussed. The propeties of ω-Urysohn seperation, such as, the ω-limit point of a molecular net and an ideal is only in ω-Urysohn spaces, are obtained. That ω-Urysohn seperation is hereditary, arbitrary multiplicative under condition of full-stratum, topological invariant under （ωl, ω2）-homeomorphic order- homorphism and （ωl, ω2）-homeomorphic order-homorphism, and the good extension in the sense of R. Lowen, are proved.

关 键 词：LΩ-空间 ω-闭远域 ω-Urysohn分离性 

分 类 号：O189[理学—数学]