次中紧空间与遗传次中紧空间 |
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引用本文: | 蔡奇嵘,苏淑华.次中紧空间与遗传次中紧空间[J].山东大学学报(理学版),2013,48(2):79-80. |
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作者姓名: | 蔡奇嵘 苏淑华 |
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作者单位: | 东华理工大学理学院,江西抚州,344000 |
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基金项目: | 江西省教改基金资助项目 |
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摘 要: | 证明了X是次中紧空间当且仅当X的每个散射分解有一个θ-cf-开膨胀;空间X的每个散射分解有一个θ-cf-开膨胀,则X是遗传次中紧的,反之不一定成立且给出一个反例。最后给出了次中紧空间的一个相关结论。
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关 键 词: | 次中紧 遗传次中紧 散射分解 θ-cf-可膨胀 |
收稿时间: | 2012-06-14 |
The submesocompactness and the H\hereditarily submesocompactness |
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Institution: | College of Science, East China Institute of Technology, Fuzhou 344000, Jiangxi, China |
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Abstract: | It is proved that the space X is a submesocompact space if and only if every scattered patition of X has a θ-cf-open expansions. If every scattered patition of X has a θ cf open expansions, than X is a hereditarily submesocompact space, but not established and given example. One result of submesocompact space is given. |
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Keywords: | submesocompactness hereditarily submesocompactness scattered patition θ-cf-expandability |
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