|
|||||
|
|
| 紧度量空间连续函数族的可分性 | |
| 引用本文： | 蔡宇泽. 紧度量空间连续函数族的可分性[J]. 无锡职业技术学院学报, 2008, 7(6): 52-53 |
| 作者姓名： | 蔡宇泽 |
| 作者单位： | 沙洲职业工业学院,基础科学系,江苏,张家港,215600 |
| 摘 要： | 文章讨论了一类紧致度量空间的连续函数的可分性.设为非空度量空间,为其上连续函数组成的集类,我们利用Stone-Weierstrass定理证明了:是可分空间当且仅当是紧致的。 |
| 关 键 词： | 紧集 可分空间 可分点 |
The Separateness of the Family of the Continue Function on a Compact Metric Space |
|
| CAI Yu-ze. The Separateness of the Family of the Continue Function on a Compact Metric Space[J]. , 2008, 7(6): 52-53 | |
| Authors: | CAI Yu-ze |
| Affiliation: | CAI Yu - ze (Shazhou Professional Institute of Technology, Zhangjiagang 215600, China) |
| Abstract: | In the paper,the author discusses the separateness of continuous functions on a compact metric space.Let be a nonempty metric space and be the family of continues functions on it.We apply the Stone-Weierstrass Theorem to prove that is separate iff.is compact. |
| Keywords: | compact set separate space separate point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |