序列式次中紧空间的映射定理 |
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作者姓名: | 张学茂 |
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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: | 主要证明了闭序列覆盖映射保持序列式次中紧性和序列式中紧映射逆保持序列式次中紧空间等定理,并得出推论:在正则空间中,闭林德勒夫映射逆保持序列次式中紧空间。
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关 键 词: | 序列式次中紧 序列覆盖映射 |
Mapping Theorems on Sequential Submesocompactness |
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Authors: | ZHANG Xue-mao |
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Institution: | ZHANG Xue-mao |
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Abstract: | In this paper , We proves that maintain close sequence-covering mappings in sequential compactness times; As an application, closed sequence-covering mappings preserve sequnential submesocompactness. Also we prove that sequential submesocompaetness is inversely preserved under closed Lindelof mappings in regular spaces. |
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Keywords: | sequential submesocompactness equence-covering mapping |
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