| 拓扑向量锥度量空间的紧致性 |
| |
| 引用本文： | 施明明,刘玉波.拓扑向量锥度量空间的紧致性[J].天津理工大学学报,2013(5):61-64. |
| |
| 作者姓名： | 施明明 刘玉波 |
| |
| 作者单位： | 天津理工大学理学院,天津300384 |
| |
| 摘 要： | 首先建立拓扑向量锥度量空间的邻域,开集和拓扑结构.然后在此基础上讨论拓扑向量锥度量空间的一些拓扑性质（分离性,可数性,紧致性）,证明了度量空间中的一些经典定理在拓扑向量锥度量空间中的推广.
|
| 关 键 词： | 拓扑向量锥度量空间 开球 开集 邻域 紧致性 |
The compactness of TVS-valued cone metric space |
| |
| SHI Ming-ming,LIU Yu-bo.The compactness of TVS-valued cone metric space[J].Journal of Tianjin University of Technology,2013(5):61-64. |
| |
| Authors: | SHI Ming-ming LIU Yu-bo |
| |
| Institution: | (School of Science, Tianjin University of Technology, Tianjin 300384, China) |
| |
| Abstract: | In this paper, we establish the concepts of neighborhood, open set and topological structures in TVS-valued cone metric space, then some topological properties of TVS-valued cone metric space, such as compactness, separation and countability, will be discussed . Finally, some famous theorems in metric space will be extended to the case in cone metric space. |
| |
| Keywords: | cone metric space open ball open set neighborhood compactness |
| 本文献已被 维普 等数据库收录！ |
|
