| 集合$\tau$-标准部分的闭性 |
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| 引用本文： | 陈东立,冯晶晶,马春晖.集合$\tau$-标准部分的闭性[J].数学研究及应用,2011,31(2):371-376. |
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| 作者姓名： | 陈东立 冯晶晶 马春晖 |
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| 作者单位： | 西安建筑科技大学理学院, 陕西 西安 710055;西安建筑科技大学理学院, 陕西 西安 710055; 西安培华院基础部, 陕西 西安 710125;西安建筑科技大学理学院, 陕西 西安 710055 |
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| 基金项目： | 陕西省自然科学基金(Grant No.2007A12), 西安建筑科技大学青年科技基金(Grant Nos.QN0736; QN0833). |
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| 摘 要： | In this paper,the closeness of the τ-standard part of a set is discussed.Some related propositions of the τ-neighborhood system of a set are given.And then some related conclusions of the τ-monad of a set and the τ-standard part of a set are presented.And based on it,the necessary and sufficient conditions of the enlarged model and the saturated model are showed.Finally,some sufficient conditions that the τ-standard part of a set is closed are proved in the enlarged model and the saturated model.
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| 关 键 词： | 标准 零件 设置 模型显示 充分条件 饱和模型 文件 |
| 收稿时间： | 2009/3/26 0:00:00 |
| 修稿时间： | 2010/1/18 0:00:00 |
The Closeness of the $\tau$-Standard Part of a Set |
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| Dong Li CHEN,Jing Jing FENG and Chun Hui MA.The Closeness of the $\tau$-Standard Part of a Set[J].Journal of Mathematical Research with Applications,2011,31(2):371-376. |
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| Authors: | Dong Li CHEN Jing Jing FENG and Chun Hui MA |
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| Institution: | School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China;School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China; Department of Basic Courses, Xi'an Peihua University, Shaanxi 710125, P. R. China;School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China |
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| Abstract: | In this paper, the closeness of the $\tau$-standard part of a set is discussed. Some related propositions of the $\tau$-neighborhood system of a set are given. And then some related conclusions of the $\tau$-monad of a set and the $\tau$-standard part of a set are presented. And based on it, the necessary and sufficient conditions of the enlarged model and the saturated model are showed. Finally, some sufficient conditions that the $\tau$-standard part of a set is closed are proved in the enlarged model and the saturated model. |
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| Keywords: | enlarged models saturated models $\tau$-standard part $\tau$-closed set |
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