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1)  semi-arc connected space
s-弧连通空间
2)  S-connected space
S连通空间
1.
We gain the results as follows: X is S-connected space,then X is an image of a connected sequential space under a continuous mapping,and X is an image of a connected sequential space under a sequential continuous mapping,and X is a image of a connected sequential space under a continuous sequential.
给出了拓扑空间是S连通空间的几个等价刻画,同时讨论了S连通子集及其性质,连通序列空间与S连通空间的性质,证明了拓扑空间X是S连通空间则X是连通序列空间的连续映象,连通序列空间的序列连续映象,连通序列空间的连续序列覆盖映象。
3)  arcwise connected space
弧连通空间
1.
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.
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。
4)  semi-arc connected
s-弧连通
5)  θ-arcwise connected spaces
θ-弧连通空间
6)  semi-arcwise connected spaces
半弧连通空间
1.
It is shown that to be semi-arcwise connected spaces is topologicasl properties and semi-arcwise connection is equivalence relation.
文章由半开集、半连续概念引入半弧连通空间和半弧连通概念,推广了弧连通空间概念。
补充资料:单连通和多(复)连通超导体(simplyandmultiplyconnectedsuperconductors)
单连通和多(复)连通超导体(simplyandmultiplyconnectedsuperconductors)

单连通超导体一般指的是不包含有非超导绝缘物质或空腔贯通的整块同质超导体,若有非超导绝缘物质或空腔贯通的超导体则称为多(复)连通超导体。从几何学上讲,在超导体外表面所包围的体积内任取一曲线回路,这回路在超导物质内可收缩到零(或点),且所取的任意回路均可收缩到零而无例外,则称单连通超导体。若有例外,即不能收缩到零,则称多连通超导体。例如空心超导圆柱体,则在围绕柱空腔周围取一回路就不能收缩为零。多连通超导体可有磁通量子化现象(见“磁通量子化”)。

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