| S——“Bolzano—Weierstrass”性质 |
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| 引用本文： | 陈焕然.S——“Bolzano—Weierstrass”性质[J].吉首大学学报(自然科学版),1992(1). |
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| 作者姓名： | 陈焕然 |
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| 作者单位： | 吉首大学数学系 |
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| 摘 要： | 文1]、2]、3]、4]分别讨论了S—紧性和可数S—紧性,本文则讨论一种弱于S—紧性和可数S—紧性但对于半T_1空间类来说却等价于可数S—紧性的性质.这种性质称为S—“Bolzano—Weierstrass”性质或S—列紧性质,且要求这种空间的任何无限子集都具有空间内的半聚点.
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| 关 键 词： | 半聚点 半导集 半闭集 半闭包 半连续映射 半T_1空间 可数S—紧 S—列紧 |
A Property of S-"Bolzano-Weiersttiass |
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| Chen Huanran.A Property of S-"Bolzano-Weiersttiass[J].Journal of Jishou University(Natural Science Edition),1992(1). |
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| Authors: | Chen Huanran |
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| Institution: | Department of mathematical |
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| Abstract: | S-compactness and countable S-compactness were discussed in 1]. 2].3] 4]. In this paper, we discuss a property that weaker than S-compactness and countable S-compactness but it is equivalant to the countalele S-compactness for Semi-T1 space class. This property is called S-" Bolzano -Weierstrass " property or S-sequential compactness. And it must be satsfied that there is semi-accumulation point in the space for every infinite subset of this space. |
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| Keywords: | semi-accurnulation point semi-derived set semi-closed set semi-closure semi-continuous mapping semi-T1 space countable S-compactness S-sequential compactness |
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