| 关于序列覆盖s映射 |
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| 引用本文： | 林寿. 关于序列覆盖s映射[J]. 数学进展, 1996, 25(6): 548-551 |
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| 作者姓名： | 林寿 |
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| 作者单位： | 宁德师专数学系 |
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| 基金项目： | 国家自然科学基金,数学天元基金 |
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| 摘 要： | 本文定义了两类序列覆盖映射，讨论了度晴空间的序列覆盖ｓ映象，特别地，我们证明了空间Ｘ具有点可数弱当且仅当Ｘ是度量空间的１序列覆盖的商ｓ映象，这回答了１９７０年Ｔ．Ｈｏｓｈｉｎａ提出了一个问题。
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| 关 键 词： | 序列覆盖映射 商映射 s映射 度量空间 点可数基 |
On Sequence-covering s-mappings |
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| Lin Shou. On Sequence-covering s-mappings[J]. Advances in Mathematics(China), 1996, 25(6): 548-551 |
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| Authors: | Lin Shou |
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| Abstract: | In this paper two sequence-covering mappings are introduced, and sequencecovering s-images of metric spaces are discussed. Particularly,we show that a space has a point-countable weak base if and only if it is an l-sequence-covering quotient s-image of a metric space,which answers a problem posed by T.Hoshina in 1970. |
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| Keywords: | weak base sequential neighborhood sequential open set sequence-covering map quotient map s-map |
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