| 相容连续Domain的不变性 |
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| 引用本文： | 何卫民.相容连续Domain的不变性[J].纯粹数学与应用数学,2010,26(2):211-214. |
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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，江门市科技计划资助项目 |
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| 摘 要： | 引入了Scott相容连续映射与商相容Domain等概念,研究了Scott相容连续映射保局部基与保waybelow序及保局部基与保紧元之间的关系,证明了相容连续Domain或相容代数Domain在保局部基的Scott相容连续满映射下保持不变.
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| 关 键 词： | 相容连续Domain 相容代数Domain Scott拓扑 Scott相容连续映射 |
Invariance of consistently continuous Domains |
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| HE Wei-min.Invariance of consistently continuous Domains[J].Pure and Applied Mathematics,2010,26(2):211-214. |
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| Authors: | HE Wei-min |
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| Institution: | HE Wei-min(Department of Mathematics,Wuyi University,Jiangmen 529020,China) |
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| Abstract: | The concepts of Scott consistently continuous maps and quotient consistently domain are given.The relations of local base-preserving with waybelow-preserving and local base-preserving with compact element-preserving of Scott consistently continuous maps are investigated.It is proved that the image of consistently continuous domain or algebraic domain under the local base-preserving Scott consistently continuous onto maps is still continuous or algebraic. |
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| Keywords: | consistently continuous Domain consistently algebraic Domain Scott topology Scott consistently continuous maps |
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