| 基一中紧映射性质和基一可数中紧乘积性质 |
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| 引用本文： | 纪广月.基一中紧映射性质和基一可数中紧乘积性质[J].广州大学学报(综合版),2012(1):10-12. |
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| 作者姓名： | 纪广月 |
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| 作者单位： | 肇庆工商学院工商系,广东肇庆526020 |
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| 摘 要： | 引入了基一中紧映射，并证明了如下结果：①设，：x—l，是闭LindelSff映射，若x为正则空间，则厂：x-y是基一中紧映射；②若x和y都为基一可数中紧的，Y为局部紧的，则X×Y为基一可数中紧的．
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| 关 键 词： | 闭Lindelsff映射 基一中紧映射 基一可数中紧 |
Property of Base-mesocompact mapping and base-countable mesocompact product |
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| JI Guang-yue.Property of Base-mesocompact mapping and base-countable mesocompact product[J].Journal of Guangzhou University,2012(1):10-12. |
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| Authors: | JI Guang-yue |
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| Institution: | JI Guang-yue ( Dept. of Industry and Commerce,Zhaoqing College of Industry and Commerce, Zhaoqing 526020, China) |
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| Abstract: | The notion of base-mesocompact mapping is introduced and the following results are proved：（1）Let 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 x Y is base-countable mesocompact if Y is locally compact. |
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| Keywords: | closed Lindelioff mapping base-mesocompact mapping base-countable mesocompact |
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