弱L-余拓扑空间的可数紧性

紧性是模糊拓扑学中的重要概念.给出了弱L-余拓扑空间中紧性,可数紧性的定义,讨论了可数紧集在L-值Zadeh型函数下的逆不变性,证明了可数紧集与紧集的乘积是可数紧的. 另外, 通过引入具有有限交性质的弱闭集族给出了可数紧空间的一个新特征.

The countably compactness of the weakly L-cotopology spaces

The compactness is the important property of the L-topology spaces.In this paper,the notions of the compactness,the countably compactness are defined.Moreover,the inverse invariant property of countably compact set under L-Zadeh type function in the weakly L-cotopology spaces are discussed,the product of a compact set and a countably compact set are proved.And a new characteristic of the countably compact spaces is given by introducing the weakly closed subsets which have the finite intersection property.