| 关于Sober拓扑的一个反例 |
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| 引用本文： | 袁珍艳.关于Sober拓扑的一个反例[J].伊犁师范学院学报(自然科学版),2009(3):6-8. |
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| 作者姓名： | 袁珍艳 |
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| 作者单位： | 宿迁高等师范学校,数学系,江苏,宿迁,223800 |
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| 摘 要： | 拓扑空间的Sober性质是一种特殊的分离性．借助于有理数空间的通常拓扑构造了一个T1＋Sober空间而非T2空间的反例，进一步清晰了Sober拓扑与Z空间之间的关系．
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| 关 键 词： | Sober拓扑 反例 |
A Counterexample of Sober Topological Spaces |
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| YUAN Zhen-yan.A Counterexample of Sober Topological Spaces[J].Journal of Ili Normal University,2009(3):6-8. |
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| Authors: | YUAN Zhen-yan |
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| Institution: | YUAN Zhen-yan (Mathematics Department, Suqian Teachers School, Suqian 223800, P. R., China) |
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| Abstract: | This paper carries on detailed studies of sober separation and specialization orders of topological spaces. In terms of the usual topology of rational numbers, a counterexample of T1＋sober topological space which is not T2 is constructed. |
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| Keywords: | sober topology counterexample |
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