L-双拓扑空间中的B-配仿紧性

B-coparacompactness in L-bitopological Spaces

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.