| 拓扑线性空间与Euclid空间的线性同胚性 |
| |
| 引用本文： | 邢志勇,李庆.拓扑线性空间与Euclid空间的线性同胚性[J].山东理工大学学报,2012(2):77-78. |
| |
| 作者姓名： | 邢志勇 李庆 |
| |
| 作者单位： | 厦门海洋职业技术学院基础部;安徽机电职业技术学院数控工程系 |
| |
| 摘 要： | 应用拓扑线性空间中局部基构造的方法,利用有界集的性质和Euclid空间的特点,对拓扑线性空间附加了一些条件,证明了拓扑线性空间与Euclid空间是线性同胚的.
|
| 关 键 词： | 拓扑线性空间 有限维 Euclid空间 线性同胚 |
Linear homeomophism of topological linear space and Euclid space |
| |
| XING Zhi-yong,LI Qing.Linear homeomophism of topological linear space and Euclid space[J].Journal of Shandong University of Technology:Science and Technology,2012(2):77-78. |
| |
| Authors: | XING Zhi-yong LI Qing |
| |
| Institution: | 1.Department of Basic,Xiamen Ocean Vocational College,Xiamen 361100,China; 2.Department of Numerical Control Engineering,Anhui Mechanical and Electrical Engineering Career Technical College,Wuhu 241000,China) |
| |
| Abstract: | This work applied topological linear space in base construction method using the properties of bounded sets,and characteristics of Euclid space.Some conditions were attached to the topological linear space to prove topological linear space and Euclid space was linear homeomorphism. |
| |
| Keywords: | topological linear space finite dimensional Euclid space linear homeomorphism |
| 本文献已被 CNKI 等数据库收录！ |
