拓扑空间的积 product of topological spaces
- 利用超距空间的基本性质及拓扑空间的连通理论,得出超距空间及其子空间、积空间既不是连通空间,也不是弧连通空间,而非离散的超距空间不是局部连通空间。
By the property of the super-distance space and the connectedness of topological space,we obtained that all of the super-distance space its subspaces and product spaces are neither connected spaces nor arcwise connected space,meanwhile the super-distance space which isn't discrete topological space isn't partially connected space. - 摘要本文定义了模糊一致环概念,研究了它与模糊拓扑环的关系及它与模糊一致空间的关系;给出了借助于环的模糊子集族对模糊一致环的刻画,还引入了模糊一致子环,模糊一致剩余类环与模糊一致环的直积;并讨论了它们的分离性。
In this paper, the fuzzy uniform ring, fuzzy uniform subring, fuzzy uniform residue class ring, and direct product of fuzzy uniform rings are defined; the three necessary and sufficient conditions to describe fuzzy uniform ring by the fuzzy topological ring of type (QU), by fuzzy uniform space and by a family of fuzzy subsets of a ring are obtained.