摘要
在L-双拓扑空间中引入B-配仿紧性,证明这种仿紧性是B-配紧性的推广,并且具有一些好的性质.比如,对双闭子集遗传,在双强同胚映射下保持不变,在一定条件下B-配紧集与B-配仿紧集的乘积是B-配仿紧集,同时证明了B-配仿紧的双T2-空间既是双正则空间也是配正则空间.
In this paper,B-coparacompactness is introduced in L-bitopological spaces.it is shown that B-coparacompactness is a extension of B-cocompactness,and it has some good properties.For instance,it is hereditary with respect to biclosed subsets and preserved under strong bihomeomorphisms.Under some specifical conditions,the Cartesian product of a B-cocompact set and a coparacompact set is a coparacompact set.It is also proved that a coparacompact bi-T2 space is both a bi-regular space and a coregular space.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第2期188-192,共5页
Journal of Sichuan Normal University（Natural Science）
基金
教育部科学技术研究基金(206089)
山东省软科学基金(B2005049)资助项目
