| 连续Domain的遗传性及其不变性 |
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| 引用本文： | 刘妮,赵彬.连续Domain的遗传性及其不变性[J].模糊系统与数学,2007,21(4):22-26. |
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| 作者姓名： | 刘妮 赵彬 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目(10471083) |
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| 摘 要： | 引入Domain子空间的概念,得到Scott开集和闭集都是Domain的子空间。证明连续Domain或代数Domain对开子空间和闭子空间都是可遗传的。证明连续Domain或代数Domain在保Waybelow序的Scott连续映射下保持不变。
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| 关 键 词： | 连续Domain 代数Domain Scott拓扑 Domain子空间 |
| 文章编号： | 1001-7402（2007）04-0022-05 |
| 收稿时间： | 2007-03-15 |
| 修稿时间： | 2007-03-15 |
Heredity and Invariance of Continuous Domains |
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| LIU Ni,ZHAO Bin.Heredity and Invariance of Continuous Domains[J].Fuzzy Systems and Mathematics,2007,21(4):22-26. |
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| Authors: | LIU Ni ZHAO Bin |
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| Abstract: | Firstly,the concepts of sub-dcpo and sub-space of a domain are given and both Scott open sets and Scott closed sets are proved to be sub-spaces.Then continuous domains or algebraic domains are hereditary for Scott open subsets and Scott closed subsets.Finally,it is proved that the image of continuous domain or algebraic domain under the waybelow-preserving Scott continuous maps is still continuous or algebraic. |
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| Keywords: | Continuous Domain Algebraic Domain Scott Topology Subspace of Domain |
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