| 连续映射用序列收敛刻划的条件 |
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| 引用本文： | 唐永才.连续映射用序列收敛刻划的条件[J].荆门职业技术学院学报,2004,19(3):42-43,47. |
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| 作者姓名： | 唐永才 |
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| 作者单位： | 荆门职业技术学院经管系 湖北荆门 448000 |
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| 摘 要： | 引进拓扑空间X的可序列收敛性质，证明了这一性质是可商的性质．在此基础上，给出在一般拓扑空间上，连续映射可用序列收敛性质刻划的条件是充分的而非必要条件．顺便指出文1]中一说法的不妥与疏忽．
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| 关 键 词： | 连续映射 拓扑空间 序列收敛刻划 第一可数性公理 可商性质 |
| 文章编号： | 1008-4657(2004)03-0042-02 |
| 修稿时间： | 2004年2月24日 |
The Condition of Using the Property of Sequence Convergence to Describe Continuous Mapping |
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| TANG Yong-cai.The Condition of Using the Property of Sequence Convergence to Describe Continuous Mapping[J].Journal of Jingmen Vocational Technical College,2004,19(3):42-43,47. |
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| Authors: | TANG Yong-cai |
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| Abstract: | This article has introduced topological space X's property of sequencable convergence and proved that this property is quotient property. On the basis of that,this ratical has also pointed out that the condition of using the property of sequence convergence to deseribe continuous mapping is the sufficient condition rather than necessary condition on the general topological space.Point out one inappropriate statement samewhere in article by the way. |
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| Keywords: | continuous mapping the first enumerability axiam the property of sequence convergence quotient property |
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