| 序列式MESO紧空间的闭Lindelof逆象(英文) |
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| 引用本文： | 沈荣鑫,刘来山.序列式MESO紧空间的闭Lindelof逆象(英文)[J].大学数学,2007,23(1):43-46. |
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| 作者姓名： | 沈荣鑫 刘来山 |
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| 作者单位： | 泰州师范高等专科学校,江苏,泰州,225300 |
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| 摘 要： | 证明了正则空间中闭Lindelof映射逆保持序列式meso紧性,从而改进了Mancuso V J关于正则空间中完备映射逆保持meso紧性这一结果;进一步我们指出定理条件中原象空间的正则性不可被省略而象空间的正则性可以用原象空间的正规性来替代.
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| 关 键 词： | 序列式meso紧 序列式meso紧映射 闭Lindelof映射 |
| 文章编号： | 1672-1454（2007）01-0043-04 |
| 收稿时间： | 2005-04-07 |
| 修稿时间： | 2005年4月7日 |
On Closed Lindelof Inverse Images of Sequentially Mesocompact Spaces |
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| SHEN Rong-xin,LIU Lai-shan.On Closed Lindelof Inverse Images of Sequentially Mesocompact Spaces[J].College Mathematics,2007,23(1):43-46. |
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| Authors: | SHEN Rong-xin LIU Lai-shan |
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| Abstract: | We prove that closed Lindelof mappings with regular domains and images inversely preserve sequential mesocompactness,which improves the same result of Mancuso V J about perfect mappings.Also we proved that the regularity of domains cannot be omitted and the regularity of images can be replaced by the normality of domains. |
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| Keywords: | sequential mesocompactness sequentially-mesocompact mapping closed Lindelof mapping |
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