| 实数集R上一类拓扑—数列拓扑及若干性质 |
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| 引用本文： | 林迎珍.实数集R上一类拓扑—数列拓扑及若干性质[J].哈尔滨师范大学自然科学学报,1992(4). |
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| 作者姓名： | 林迎珍 |
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| 作者单位： | 哈尔滨师范大学 |
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| 摘 要： | 本文在实数集 R 上所有拓扑结构中,选出使数列收敛的意义等价于欧氏拓外的一类拓扑,称之为数列拓扑.讨论了这类拓扑的可分,连通、分离、紧致,可数等拓扑性质.举出了非欧氏拓扑的数列拓扑的例子.
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| 关 键 词： | 数列拓扑 收敛 数列 |
A CLASS OF TOPOLOGY ON REAL NUMBER SET R-SEQUENCE TOPOLOGY AND SOME PROPERTIES |
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| Lin Yingzhen.A CLASS OF TOPOLOGY ON REAL NUMBER SET R-SEQUENCE TOPOLOGY AND SOME PROPERTIES[J].Natural Science Journal of Harbin Normal University,1992(4). |
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| Authors: | Lin Yingzhen |
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| Institution: | Harbin Nomal University |
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| Abstract: | In this paper,a class of topologies,that is equivalent to E-topology in the mean- ing of sequence convergence,is selected from other topological structures on real number set R and it is called Sequence Topology.Some topological properties,for example,separableness,conneetiveness,separation compactness countableness,are dis- cussed for such topologies.A example of sequence topology of non-E-topology is given. |
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| Keywords: | Sequence topology Convergence Sequence |
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