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L-拓扑空间中的Starplus-紧性
STARPLUS - COMPACTNESS IN L - TOPOLOGICAL SPACES
【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.
【Abstract】 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;
【Key words】 L - topology; Stratified Hausdorff space; Stratified Regular space; Stratified normal space; Starplus - compactness;
【Key words】 L - topology; Stratified Hausdorff space; Stratified Regular space; Stratified normal space; Starplus - compactness;
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,2005年05期
- 【分类号】O189.11
- 【被引频次】1
- 【下载频次】27