| 局部序列连通空间 |
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| 引用本文： | 黄琴.局部序列连通空间[J].广西大学学报(自然科学版),2007,32(1):84-88. |
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| 作者姓名： | 黄琴 |
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| 作者单位： | 莆田学院,数学系,福建,莆田,351100 |
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| 基金项目： | 国家自然科学基金
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莆田学院校科研和教改项目 |
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| 摘 要： | 给出了序列连续映射的等价刻画及局部序列连通性的定义.讨论了拓扑空间的局部序列连通性,给出局部序列连通空间的刻画及基本性质,证明了序列连续开映射保持局部序列连通性,局部序列连通性具有开遗传性,可商性,有限可积性;最后给出局部序列连通性可数可积的充要条件.
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| 关 键 词： | 序列连续映射 局部序列连通空间 可积性. |
| 文章编号： | 1001-7445(2007)01-0084-05 |
| 修稿时间： | 2006 |
Locally sequentially connected space |
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| HUANG Qin.Locally sequentially connected space[J].Journal of Guangxi University(Natural Science Edition),2007,32(1):84-88. |
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| Authors: | HUANG Qin |
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| Institution: | Dept. of Math. , Putian College, Fuiian,351100, China |
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| Abstract: | In this paper,we give characterizations of sequentially continuous mappings and the definition of locally sequentially connected space,and investigate basic properties of locally sequentially connected space,so we obtain the following main results:sequence-continuous-open mappings can preserve locally sequential connectedness;locally sequentially connectedness is open hereditary,quotient and finitely multiplicative.Finally,we give the necessary and sufficient condition that locally sequentially connectedness is countably multiplicative. |
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| Keywords: | sequence-continuous-open mappings locally sequentially connected space product space |
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