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。
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。
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。
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。
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。
Under the condition of space X being regular we give out the property of space X being locally connected.
在所考虑空间是完全正则空间的前提下,本文给出局部连通空间的一个特性。
Symmetry of Homotopy Classes of Feynman Paths in Two-Dimensional Multiply Connected Spaces and Quantization of Angular Momentum
在二维多连通空间弗曼路径积分同伦类的对称性及角动量量子化
locally arcwise connected topological space
局部弧连通拓扑空间
totally disconnected metric space
完全不连通度量空间
Local Connectifications and Pathwise Connectifications of Topology Spaces;
拓扑空间的局部连通化与道路连通化
Analytic Function Spaces on Multi-connected Domain and Those Operators;
多连通域上的解析函数空间及其算子
Local Paracompactness and δ-connectedness in L-topological Spaces;
L-拓扑空间的局部仿紧性及δ-连通性
The Decomposition of Bergman Space Functions on Two-Cnnected Domain;
二连通域上Bergman空间函数的分解
Strong Connectedness in LF Topological Spaces
L-fuzzy拓扑空间中的强连通性
γ-Connectedness in L-fuzzy Topological Spaces
L-fuzzy拓扑空间中的γ-连通性
CONNECTION MODEL OF FRACTURE AND VUGS WITH WELLBORE AND LAPLACE SPACE SOLUTION
裂缝-洞-井连通油藏模型及其Laplace空间解
The O_s-r Connectedness of Weakly L-cotopological Spaces
弱L-余拓扑空间的O_s-r连通性
Fanji theorem of O_s-r connectedness in L-topological spaces
L-拓扑空间的O_s-r连通性的樊畿定理
Research on Intermittent Connectivity for Wireless Multiple-hop Space Network
无线多跳空间网络间歇连通性问题研究
Strong Semi-normal Absolutely Closed Nature in Topological Space and Connection in Fuzzifying Bitopological Space
拓扑空间强半正规绝对闭性与Fuzzifying双拓扑空间的连通性
ε-connectedness in Weak Distance Measure Spaces and a Note about Competitive and Cooperative Learning Algorithm;
弱区别度空间的ε-连通性及CCL算法的一点注记
α-p Connectedness in L-fuzzy Topological and L-fuzzy Bitopological Space
L-fuzzy与L-双fuzzy拓扑空间中的α-p连通性
Spatial Connection Pattern of Rail Transit Node and Commercial Construction
轨道交通节点与商业建筑的空间连接模式