L-双拓扑空间中的*-配仿紧性

在L-双拓扑空间中引入*-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: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*-配仿紧集的乘积是*-配仿紧集。并同时证明了*-配仿紧的双T2空间既是双正则空间也是配正则空间。

The *-coparacompactness in L-bitopological spaces

The *-coparacompactness was introduced in L-bitopological spaces. The results show that the *-coparacompactness is a extension of B-cocompactness,　and it has some good properties.　For instance, it is hereditary with respect to biclosed subsets and is preserved under strong bihomeomorphisms.　With specifical conditions, the Cartesian product of a B-cocompact set and a *-coparacompact set is a *-coparacompact set.　It was also proved that a *-coparacompact and bi-T2 space is both a bi-regular and a coregular space.