1) simple connected space
单连通空间
2) simply connected spatial domain
单连通空间域
3) Connected Space
连通空间
1.
In this paper,the Cartesian Product of three topological spaces,compact space,connected space and A2(A1) space,were studied,and three corresponding conclusions are given.
讨论了某些拓扑空间的有限笛卡儿乘积,主要包括紧致空间、连通空间、以及A2(A1)空间。
2.
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) connected spaces
连通空间
1.
In this paper, a characterization of paracompact, locally compact and connected spaces is given, and an example which shows that a connected and first-countable space can not be a continuous image of a paracompact, locally compact and connected space is constructed.
刻画出仿紧、局部紧、连通空间的等价性质,并举例说明连通的第一可数空间可以不是仿紧、局部紧、连通空间的连续映像,从而否定了连通的k空间是仿紧、局部紧、连通空间的商空间的说法。
2.
In this paper k-connected spaces are introduced and characterized.
本文引进k连通空间并给出其刻画；讨论了作为空间的子空间是k连通的性质及k连通的乘积性；证明了T_2空间X是连通仿紧局部紧空间的商紧映象当且仅当X是具有点有限k系的k连通空间。
5) 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。
6) spatial connectivity
空间连通性
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”）。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条