| 局部强紧空间的Hoare空间与Smyth空间 |
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| 引用本文： | 杨金波,徐晓泉.局部强紧空间的Hoare空间与Smyth空间[J].数学学报,2010,53(5):989-996. |
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| 作者姓名： | 杨金波 徐晓泉 |
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| 作者单位： | 江西师范大学数学与信息科学学院 南昌 330022 |
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| 基金项目： | 国家自然科学基金(10331010,10861007);高等学校全国优秀博士学位论文作者专项资金(2007B14) |
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| 摘 要： | 本文主要讨论局部强紧空间的性质,特别是其Hoare空间和Smyth空间的性质,证明了T_0空间为局部强紧空间的当且仅当其Hoare空间为局部强紧空间,局部强紧空间的Smyth空间为C-空间.对于强局部紧空间,我们有类似的结论.
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| 关 键 词： | 局部强紧空间 C-空间 超连续格 |
| 收稿时间： | 2009-09-03 |
| 修稿时间： | 2010-04-02 |
The Hoare Spaces and Smyth Spaces of Locally Strongly Compact Spaces |
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| Institution: | College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, P. R. China |
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| Abstract: | In this paper, we discuss some properties of locally strongly compact spaces, especially the properties of their Hoare spaces and Smyth spaces. It is proved that a T0 space is locally strongly compact if and only if its Hoare space is locally strongly compact and the Smyth space of a locally strongly compact space is a C-space. Analogous results are obtained for strongly locally compact spaces.
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| Keywords: | locally strongly compact space C-space hypercontinuous lattice |
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