L-拓扑空间的相对Sβ-紧性

Relative S_β-compactness in L-topological Spaces

在L-拓扑空间中引入相对Sβ-紧性的概念,得到了它的一些性质,如它是L-好的推广,对闭子集遗传,被连续的广义Zadeh型函数所保持。此外,给出了相对Sβ-紧性的网式刻画。

In this paper, the notion of relative Sβ-compactness is introduced in L-topological spaces, and some of its properties are obtained, such as that it is an L-good extension, hereditary with respect to closed subsets, and that it is preserved by continuously generalized Zadeh functions. Moreover, it can also be characterized by nets.