| 强序列紧性,可数强紧性和强列紧性 |
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| 引用本文： | 宣立新.强序列紧性,可数强紧性和强列紧性[J].南京师大学报,1989,12(2):14-19. |
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| 作者姓名： | 宣立新 |
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| 作者单位： | 南京化工动力专科学校 |
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| 摘 要： | 本文首先指出1]中定义的序列紧fts和可数紧fts的病态结果,接着定义了强序列紧性,可数强紧性和强列紧性,它们分别以一般拓扑学中相应概念为特款,文中还证明了强序列紧性、可数强紧性和强列紧性分别是一般拓扑学中相应概念的良扩张,最后讨论了引进的这些fts的性质和它们间的联系。
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| 关 键 词： | 强紧性 强序列紧性 可数强紧性 强列紧性 良扩张 |
STRONGLY SEQUENTIAL COMPACTNESS COUNTABLE STRONGLY COMPACTNESS AND STRONGLY LIMIT POINT COMPACTNESS |
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| Xuan Lixin.STRONGLY SEQUENTIAL COMPACTNESS COUNTABLE STRONGLY COMPACTNESS AND STRONGLY LIMIT POINT COMPACTNESS[J].Journal of Nanjing Normal University(Natural Science Edition),1989,12(2):14-19. |
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| Authors: | Xuan Lixin |
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| Institution: | Nanjing Power College of Chemical Engineering |
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| Abstract: | In this paper, we first point out the pathological results of sequentially compact fts and countably compact fts defined in (1), and define strongly sequential compactness, countable strongly compactness and strongly limit point compactness. They are "good extension" of corresponding concept in general topology. We discuss some properties of these fts introduced and the connection between these fts. |
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| Keywords: | Strongly compactness Strongly sequeutial compactness Countable strongly compactness Strongly limit point compactness Good extension |
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