| MESO紧空间的MESO紧逆象 |
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| 引用本文： | 沈荣鑫. MESO紧空间的MESO紧逆象[J]. 四川大学学报(自然科学版), 2009, 46(3): 565-568. DOI: 10.3969/j.issn.0490-6756.2009.03.010 |
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| 作者姓名： | 沈荣鑫 |
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| 作者单位： | 泰州师范高等专科学校数学系,泰州,225300;四川大学数学学院,成都,610064 |
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| 基金项目： | 国家自然科学基金（10571151） |
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| 摘 要： | 作者证明了meso紧映射逆保持meso紧性，作为应用，作者证明了正则空间中闭Lindelof映射逆保持meso紧性.进一步,作者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： | meso紧空间 meso紧映射 闭Lindelof映射 |
Mesocompact inverse images of mesocompact spaces |
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| SHEN Rong-Xin. Mesocompact inverse images of mesocompact spaces[J]. Journal of Sichuan University (Natural Science Edition), 2009, 46(3): 565-568. DOI: 10.3969/j.issn.0490-6756.2009.03.010 |
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| Authors: | SHEN Rong-Xin |
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| Affiliation: | Department of Mathematics, Taizhou Teacher's College; School of Mathematics, Sichuan University |
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| Abstract: | It is proved that mesocompat mappings inversely preserve mesocompactness. As some applications of this result, it is showed closed Lindelif mappings inversely preserve mesocompactness with reguladr domains and images, which improves the same result of Mancuso about perfect mappings.It is also proved 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: | mesocompactness mesocompact mapping closed Lindelof mapping |
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