Lω-空间的ωδ-紧性  

ωδ-Compactness in L-order-preserving Operator Spaces

作　　者：艾姣 马保国[2] 吴利飞 

机构地区：[1]陕西省榆林第二实验中学,陕西榆林718000 [2]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《大学数学》2012年第4期46-49,共4页College Mathematics

摘　　要：在Lω-空间中借助βα-ωδ-开覆盖,定义了Lω-空间的ωδ-紧性,ωδ-基与ωδ-子基,并证明了ωδ-紧性被连续的Zadeh型函数所保持,Tychonoff乘积定理也成立.By means of βα- ωδ -open cover, the notion of ωδ -compactness, ωδ -base and ωδ - subbase in Leo spaces is discussed. It is proved that ωδ- compactness is preserved by continuously generalized Zadeh functions and that the Tychonoff Theorem for ωδ -compactness is true.

关 键 词：LΩ-空间 ωδ-开集 βα-ωδ-开覆盖 ωδ-紧性 

分 类 号：O189[理学—数学]