强S—Lindelof空间 |
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引用本文: | 夏巧珍,陈波.强S—Lindelof空间[J].工科数学,2009(6):96-99. |
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作者姓名: | 夏巧珍 陈波 |
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作者单位: | 西南大学数学与统计学院,重庆400715 |
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摘 要: | 利用强半开集定义了强S-Lindelof可数性的概念,讨论了其基本性质.证明了强S-Lindelof性对强半闭子集是遗传的,具有强半同胚不变性等,并给出了强S-Lindelof空间的一些应用.
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关 键 词: | 强半开集 强S-Lindel6f空间 强不定映射 强半开映射 强半同胚映射 |
Strong S-Lindelof Space |
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Institution: | XIA Qiao-zhen, ZHEN Bo (College of Mathematics and Statistics, Southwest University, Chongqing 400715, China) |
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Abstract: | The concepts of strong S-Lindelof Space are defined and some basic properties are characterized. It is proved that the strong S-Lindelof space is strong semi-closed heriditary and has strong semi-homomorphic invariablility, etc. And some applications of strong S-Lindelof space are given. |
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Keywords: | strong semi-open set strong S-Lindelof space strong irresolute mapping strong semi-open mapping strong semi-homomorphic maping |
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