|
|||||
|
|
Metrizability of sequential topological groups with point-countable |
|
| Authors: | Alexander Shibakov |
| Affiliation: | Department of Mathematics, Auburn University, Auburn University, Alabama 36849 |
| Abstract: | We prove that a Hausdorff sequential topological group with a point-countable  -network is metrizable iff its sequential order is less than  . In the non Hausdorff case metrizability may be replaced by  -locally finite base. |
| Keywords: | Topological group sequential space sequential order Fr'{e}chet space $k$-network |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |