L-拓扑空间中的Starplus-紧性  

STARPLUS - COMPACTNESS IN L - TOPOLOGICAL SPACES

作　　者：单静[1] 

机构地区：[1]黑龙江工程学院

出　　处：《哈尔滨师范大学自然科学学报》2005年第5期11-13,共3页Natural Science Journal of Harbin Normal University

摘　　要：Starplus-紧性概念被推广到了L-拓扑空间中,它是一般拓扑中紧性 的L-好推广．一个Starplus-紧的L-模糊集合一个伪闭的交是Starplus-紧的．一 个Starplus-紧的L-模糊集的连续像是Starplus-紧的L一个Hmlsdorff的Starplus -紧空间是层正则与层正规的,另外,Starplus-紧性能够用Qa开重盖与网来刻画．In this paper, the concept of Starplus - compactness is generalized to L - topological spaces. It is a good extension of compactness in general topology. The intersection of a Starplus - compact L - sets and a pseudo closed L - set is Stalus - compact. The continuous image of a Starplus - compact L - set is Starplus - compact. A stratified Hausdorff and Starplus - compact L - topological space is stratified regular and statified normal. Morever Starplus -compactness can be characterized by Qn -open quasi -over and nets.

关 键 词：L-拓扑 层Hausdorff空间 空间 层正规空间 Starplus-紧性 

分 类 号：O189.1[理学—数学] O189.11[理学—基础数学]