1) biconnected space
![点击朗读](/dictall/images/read.gif)
双连通空间
2) Connected Space
![点击朗读](/dictall/images/read.gif)
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。
3) connected spaces
![点击朗读](/dictall/images/read.gif)
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.
![点击朗读](/dictall/images/read.gif)
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。
4) arcwise connected space
![点击朗读](/dictall/images/read.gif)
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。
5) spatial connectivity
![点击朗读](/dictall/images/read.gif)
空间连通性
6) Volume connected region
![点击朗读](/dictall/images/read.gif)
空间连通域
补充资料:连通空间
连通空间
connected space
连通空间l~ected sPa代;姗~n详盯印曰公.劝} 不能表小成与相分离的两部分之和的拓扑空间,或更确切地说,不能表水成两个非空不交开闭子集的和空间是连通的,‘与门仪当在其L任意连续实值函数取得所有的中间值,连通空间的连续象,连通空间的积,以及在Vietoris拓扑卜连通空间的闭子集空间都是连通空间.任何连通完全正则空间的基数都不小丁连续统的基数;尽管存在寿可数连通Hau祖orff空间. B.H.M出lblx朋撰[补注1关j1Vlotorls拓扑见超空间(hyperspa此).
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