| 基-中紧映射性质和基-可数中紧乘积性质 |
| |
| 引用本文： | 纪广月.基-中紧映射性质和基-可数中紧乘积性质[J].广州大学学报(自然科学版),2012(1):10-12. |
| |
| 作者姓名： | 纪广月 |
| |
| 作者单位： | 肇庆工商学院工商系 |
| |
| 基金项目： | 肇庆工商学院科研基金资助项目(1011GK43) |
| |
| 摘 要： | 引入了基-中紧映射,并证明了如下结果:①设f:X→Y是闭Lindelff映射,若X为正则空间,则f:X→Y是基-中紧映射;②若X和Y都为基-可数中紧的,Y为局部紧的,则X×Y为基-可数中紧的.
|
| 关 键 词： | 闭Lindelff映射 基-中紧映射 基-可数中紧 |
Property of Base-mesocompact mapping and base-countable mesocompact product |
| |
| JI Guang-yue.Property of Base-mesocompact mapping and base-countable mesocompact product[J].Journal og Guangzhou University:Natural Science Edition,2012(1):10-12. |
| |
| Authors: | JI Guang-yue |
| |
| Institution: | JI Guang-yue(Dept.of Industry and Commerce,Zhaoqing College of Industry and Commerce,Zhaoqing 526020,China) |
| |
| Abstract: | The notion of base-mesocompact mapping is introduced and the following results are proved:①Let f:X→Y be a closed Lindeloff mapping.If X is regular,then f:X→Y is base-countable mesocompact mapping;② Let X and Y be both base-mesocompact.X×Y is base-countable mesocompact if Y is locally compact. |
| |
| Keywords: | closed Lindelff mapping base-mesocompact mapping base-countable mesocompact |
| 本文献已被 CNKI 等数据库收录！ |
