| 经由理想得到的连通扩张 |
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| 引用本文： | 程瑜. 经由理想得到的连通扩张[J]. 徐州师范大学学报(自然科学版), 2013, 0(4): 18-19 |
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| 作者姓名： | 程瑜 |
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| 作者单位： | 徐州工程学院数学与物理科学学院,江苏徐州221111 |
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| 基金项目： | Fund item： Research supported by the Youth Foundation of Xuzhou Institute of Technology（XKY2012301） |
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| 摘 要： | 证明了对任何连通的T1拓扑空间（X，T）和X上的一个理想I，由{U＼I：U∈T，J∈I}生成的理想拓扑T也是连通的，当且仅当I中每个元素的内部为空．
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| 关 键 词： | 一般拓扑学 理想 连通扩张 理想拓扑空间 |
Connected expansions via ideal topologies |
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| Cheng Yu. Connected expansions via ideal topologies[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2013, 0(4): 18-19 |
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| Authors: | Cheng Yu |
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| Affiliation: | Cheng Yu (Sehool of Mathematics ＆ Physical Seienee,Xuzhou Institute of Teehnology,Xuzhou 221111 ,Jiangsu,China) |
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| Abstract: | In this article, it is proved that for a connected T1 topological space （X,T）, and an ideal I on X, the ideal topology T1 generated by {U／I：UE T, I I} is also connected if and only if each element of I has empty interior. |
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| Keywords: | general topology ideal connected expansion ideal topological space |
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