摘要
在弱L-余拓扑空间中引入层紧集概念,并用滤子和网给出层紧性的等价刻画,证明了层紧性在弱连续的L-值Zadeh型函数下是不变的,最后给出链所具有的特征.
The concept of layer-compact set is introduced into the weakly L-cotopology spaces. The concept of layer compactness is defined and characterized in terms of nets and filters. It is shown that the layer-compactness is invariant under the weakly continuous L-valued Zadeh function. The characterization of chains is given.
出处
《汕头大学学报（自然科学版）》
2008年第4期16-20,24,共6页
Journal of Shantou University：Natural Science Edition
基金
山东省软科学资助项目(B2005049)
关键词
模糊拓扑
弱L-余拓扑空间
层紧性
滤子
网
fuzzy topological spaces
weakly L-eotopology spaces
layer compactness
filter
net
