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1·Obtained a new character that each fuzzy topological group of tope (QU) is descried in terms of a composite fuzzy pseudonorm of a group.

从而获得每个（QU）型模糊拓扑群均可借助于群上的一个模糊复合伪范数来刻画的新特征。

2·It has been proved that the nature of independence exists in the axiomatic system of Group, Euclidean space, distance space and topological space.

本文证明了：群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。

3·By the use of group action and normal covering we give an answer in some conditions from topological rigidity theorem in this article.

本文通过群作用和正则覆盖，利用拓扑刚性定理对此问题给出一个判定性条件。