| 性质M_F与拟连续Domain中的Scott上紧集 |
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| 引用本文： | 张文锋,徐晓泉.性质M_F与拟连续Domain中的Scott上紧集[J].模糊系统与数学,2012,26(1):137-140. |
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| 作者姓名： | 张文锋 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,江西南昌,330022 |
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| 基金项目： | 国家自然科学基金，全国优秀博士学位论文作者专项资金资助项目，江西省自然科学基金，江西省研究生创新专项资金资助项目 |
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| 摘 要： | 对拟连续domain引入了关于基的性质MF,证明了对拟连续domain P,任两个Scott紧上集的交是Scott紧当且仅当P关于某一(任一)基具有性质MF.
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| 关 键 词： | 拟连续Domain Scott拓扑 Scott紧子集 基 性质MF |
Property MF and Scott Upper Compact Sets in Quasicontinuous Domains |
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| ZHANG Wen-feng
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XU Xiao-quan.Property MF and Scott Upper Compact Sets in Quasicontinuous Domains[J].Fuzzy Systems and Mathematics,2012,26(1):137-140. |
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| Authors: | ZHANG Wen-feng XU Xiao-quan |
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| Institution: | (College of Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,China) |
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| Abstract: | The concept of property MF relative to a base of quasicontinuous domain is introduced.It is proved that for a quasicontinuous domain P,the intersection of any two Scott upper compact sets is still Scott compact if and only if P satisfies property MF with respect to any(some) base. |
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| Keywords: | Quasicontinuous Domain Scott Topology Scott Compact Subsets Base Property MF |
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