摘要
借助α-相关远域族的概念给出L-双拓扑空间中配超紧性的定义,研究了B-配紧集与配超紧集之间的关系,讨论了弱诱导的L-双拓扑空间中的配超紧性及其与双超紧性之间的关系.
The definition of pairwise ultra-compactness is given by α-relative R-neighborhood family in L- bitopologieal space. The relationships between B-pairwise compacted set and pairwise ultra-compacted set are studied. The properties of pairwise ultra-compactness in weakly induced L-bitopologieal spaces and the relationships with bi-ultra-compactness are discussed.
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第6期105-108,共4页
Journal of Southwest University(Natural Science Edition)
基金
陕西省教育厅科研项目(12JK0891)
延安大学青年专项基金(YD2011-08)
关键词
L-双拓扑空间
α-相关远域族
双超紧集
配超紧集
L-bitopological space
a-relative R-neighborhood family
bi-ultra compacted set
pairwise ultra-compacted set