引用本文: | 覃左平.*X中的Q-拓扑、*τ拓扑、J τ拓扑及其性质[J].国防科技大学学报,1996,18(3):152-156.[点击复制] |
Qin Zuoping.Q-Topology,*τ-Topology,Jτ-Topology and their Properties in *X[J].Journal of National University of Defense Technology,1996,18(3):152-156[点击复制] |
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*X中的Q-拓扑、*τ拓扑、J τ拓扑及其性质 |
覃左平 |
(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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摘要: |
本文对*X 中的三种常用拓扑进行了研究,得到了一些性质。特别地,通过对 *X 的商拓扑的研究,得到了Tychonoff 空间的 Stone-Cech 紧扩张定理的非标准证明。 |
关键词: 拓扑,紧扩张,非标准扩张 |
DOI: |
投稿日期:1995-05-21 |
基金项目:国家自然科学基金资助项目 |
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Q-Topology,*τ-Topology,Jτ-Topology and their Properties in *X |
Qin Zuoping |
(Department of Systems Engineering and Applied Mathematics,NUDT,Changsha,410073)
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Abstract: |
In this paper,we study several toplogies such as Q,*τ,Jτ in *X and obtain some properties. Eospecially,we give another proof of the Stone-Cech theorem by studying quotient,topologies of *X. |
Keywords: Topology,Compact extension,Non-Standard extension |
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