| The Closeness of the τ-Standard Part of a Set |
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| 引用本文： | Dong Li CHEN ,Jing Jing FENG ,Chun Hui MA ,.School of Science,Xi’an University of Architecture , Technology,Shaanxi ,P.R.China,.Department of Basic Courses,Xi’an Peihua University,Shaanxi.The Closeness of the τ-Standard Part of a Set[J].数学研究与评论,2011,31(2). |
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| 作者姓名： | Dong Li CHEN Jing Jing FENG Chun Hui MA .School of Science Xi’an University of Architecture Technology Shaanxi P.R.China . |
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| 作者单位： | Dong Li CHEN 1,Jing Jing FENG 1,2,Chun Hui MA 1,1.School of Science,Xi’an University of Architecture and Technology,Shaanxi 710055,P.R.China,2.Department of Basic Courses,Xi’an Peihua University,Shaanxi 710125 |
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| 基金项目： | Supported by the Natural Science Foundation of Shaanxi Province (Grant No. 2007A12); the Youth Science and Technology Foundation of Xi'an University of Architecture and Technology (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： | enlarged models saturated models τ-standard part τ-closed set |
The Closeness of the (τ)-Standard Part of a Set |
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| Dong Li CHEN,Jing Jing FENG,Chun Hui MA.The Closeness of the (τ)-Standard Part of a Set[J].Journal of Mathematical Research and Exposition,2011,31(2). |
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| Authors: | Dong Li CHEN Jing Jing FENG Chun Hui MA |
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| Abstract: | 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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| Keywords: | enlarged models saturated models (τ)-standard part (τ)-closed set |
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