L-闭包空间的α_(c^-)紧性

On α_(c^-)Compactness in L-Closure Spaces

在L-闭包空间中给出cα-开集、Lα-cα-开覆盖的概念,引入cα-紧集和cα-紧空间.证明它保持了L-拓扑空间中的主要结论,如闭遗传性、好的推广性和弱拓扑不变性等好的性质.

In this paper, the concepts of the at-open sets, Lα-αc-open cover are introduced in L-closure spaces. The αc-compact sets and αc-compact space are given. It is proved that many good properties in L-topology space are preserved, such as closely hereditary, good extension and weakly topology invariability.