加强的弱L-fuzzy Hausdorff空间及其性质

Strengthened Weak L-fuzzy Hausdorff Spaces and Their Properties

文章定义了加强的弱L fuzzyHausdorff空间,讨论了SRHausdorff空间与其他分离性的关系,给出了它的等价刻画.讨论了SRHausdorff分离性的一系列性质,证明了SRHausdorff分离性是可遗传的、弱同胚不变的、L-好的推广性质,并且具有可乘性.

In the paper, the notion of strengthened weak L-fuzzy Hausdorff spaces is defined, relations between SR Hausdorff spaces and other separation are discussed, some equivalence theorems of SR Hausdorff spaces are illustrated, and a series of properties of SR Hausdorff separation are investigated. Thus it proves that the SR Hausdorff separation is of hereditary, weak homeomorphic invariant nature as well as L-good extension and multiplicativeness.