L-fuzzy层双保序算子空间中的(ω_α,υ_α)-仿紧性  

(ω_α,υ_α)-paracompactness in L-fuzzy Stratified Bi-order-preserving Operator Spaces

作　　者：吴修云[1,2] 

机构地区：[1]湖南科技学院理学院计算数学所,湖南永州425100 [2]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《数学的实践与认识》2015年第18期220-227,共8页Mathematics in Practice and Theory

基　　金：国家自科基金项目(11471202);湖南省教育厅项目(15C0586);湖南科技学院重点学科建设项目

摘　　要：首先在层双保序算子空间中引进了两种(ω_α,υ_α)-仿紧性,证明了它们都是好的推广.其次,给出了它们的若干刻画与性质,并指出了它们保持若干拓扑不变性质.最后,讨论了(ω_α,υ_α)-仿紧性、(ω_α,υ_α)-分离性以及(ω_α,υ_α)-紧性之间的关系.In this paper,firstly,concept of α-ω_α-local remote neighborhood is introduced in ω_α-opos.Its main properties are inspected.Secondly,（ω_α,υ_α）-paracompactness which is proved to be ＂good＂ extensions is introduced in ω_α-biopos.Thirdly,characteristic properties as well as other properties of（ω_α,υ_α）-paracompactness are discussed.It is proved that（ω_α,υ_α）-paracompactness conserves many topological invariant properties.Finally,relations among（ω_α,υ_α）-paracompactness,（ω_α,υ_α）-separation axioms and（ω_α,υ_α）-compactness are established.

关 键 词：(ω_α υ_α)-biopos (ω_α υ_α)-仿紧集 (ω_α v_α)-T_2(正则 正规)集 (ω1/2 υ1/2)-连续闭映射 

分 类 号：O189.11[理学—数学]