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.
出处
《模糊系统与数学》
CSCD
北大核心
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)