| 相容连续Domain的遗传性 |
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| 引用本文： | 何卫民.相容连续Domain的遗传性[J].模糊系统与数学,2010,24(1). |
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| 作者姓名： | 何卫民 |
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| 作者单位： | 五邑大学,数理系,广东,江门,529020 |
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| 基金项目： | 广东省自然科学基金资助项目(8152902001000004);;江门市科技计划资助项目(2008[103]) |
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| 摘 要： | 定义相容Domain的子Domain与子空间等概念,得到Scott开集和Scott闭集都是相容Domain的子Domain与子空间的结论,证明了相容连续Domain或相容代数Domain对开子空间和闭子空间都是可遗传的。
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| 关 键 词： | 相容连续Domain 相容代数Domain Scott拓扑 相容Domain子空间 |
Heredity of Consistently Continuous Domains |
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| HE Wei-min.Heredity of Consistently Continuous Domains[J].Fuzzy Systems and Mathematics,2010,24(1). |
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| Authors: | HE Wei-min |
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| Institution: | Department of Mathematics/a>;Wuyi University/a>;Jiaogmen 529020/a>;China |
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| Abstract: | The concepts of sub-domains and sub-spaces of a consistently domain are given and both Scott open sets and Scott closed sets are proved to be sub-domains and sub-spaces.It is also showed that the consistently continuous domains or algebraic domains are hereditary for Scott open subsets and Scott closed subsets. |
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| Keywords: | Consistently Continuous Domain Consistently Algebraic Domain Scott Topology Subspace of Consistently Domain |
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