L_Δ-闭包空间的Δ-仿紧性  

The Δ-Paracompactness in L_Δ-closure Spaces

作　　者：凌思兰[1] 孟晗[1] 孟广武[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》2009年第6期85-88,共4页Fuzzy Systems and Mathematics

基　　金：山东省自然科学基金资助项目(Y2003A01)

摘　　要：在LΔ-闭包空间中借助于Lα-Δ-开覆盖、α-局部有限集族、α--局部有限集族引入了Δ-仿紧性。证明了它对Δ-闭集是遗传的、Δ-紧的LΔ-闭包空间和Δ-仿紧空间的积空间是Δ-仿紧的重要性质。In this paper a certain △- paracompactness is presented by means of the concepts of La-△-open cover, α- locally finite family and α- locally finite family of L- sets. And we proved that it is inherited by ,5 - closed subsets, that the product of a ,5 - compactness L△- closure spaces and a △- paracompact space is ,5 - paracompactness.

关 键 词：模糊拓扑学 L△-闭包空间 △-仿祭性 

分 类 号：O189[理学—数学]