| Frink引理的注记 |
| |
| 引用本文： | 张静.Frink引理的注记[J].数学研究,2010,43(2):167-170. |
| |
| 作者姓名： | 张静 |
| |
| 作者单位： | 漳州师范学院数学与信息科学系,福建,漳州,363000 |
| |
| 基金项目： | 福建省自然科学基金资助项目 |
| |
| 摘 要： | Frink条件是构造伪度量的关键要求．本文给出Frink条件的一些等价刻画，完善了Gru—enhage论证伪度量存在性的细节，由此给出—致空间度量化定理和Alexandroff-Urysohn度量化定理的简化证明．
|
| 关 键 词： | 伪度量 —致空间 —致结构 可度量化 |
A Note on Frink's Lemma |
| |
| Zhang Jing.A Note on Frink's Lemma[J].Journal of Mathematical Study,2010,43(2):167-170. |
| |
| Authors: | Zhang Jing |
| |
| Institution: | Zhang Jing (Department of Mathematics, Zhangzhou Teachers College, Zhangzhou Fujian 363000) |
| |
| Abstract: | In this paper, equivalent characterizations of the conditions of Frink＇s Lemma 1 was given. Thus the relevant results of Lemma 2 were obtained.And then by using the Lemma＇s two classical results were proved. |
| |
| Keywords: | pseudo-metric uniform space uniform structure metrizable |
| 本文献已被 维普 万方数据 等数据库收录！ |
