L-拓扑空间的相对几乎良紧集

Relative Almost N-compact Sets in L-Fuzzy Topological Spaces

在几乎远域族的基础上定义了相对几乎良紧性,并用网对相对几乎良紧性进行了刻划.研究了相对几乎良紧集的性质以及相对几乎良紧性与几乎良紧性的关系,给出了相对几乎良紧性的等价刻划.证明了相对几乎良紧性是L-好的推广并且关于闭子空间是遗传的.

The concept of relative almost N-compact set is defined and characterized in terms of nets.The properties of relative almost N-compact set and some connections between the relative almost N-compact and almost N-compact set are investigated,and some characteristic theorems of relative almost N-compact set are given.It is proved that the L-good extension and heredity about closed subspace are all right.