| 无穷小延伸定理的推广及其应用 |
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| 引用本文： | 陈东立.无穷小延伸定理的推广及其应用[J].数学研究及应用,2003,23(2):221-224. |
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| 作者姓名： | 陈东立 |
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| 作者单位： | 西安建筑科技大学理学院,陕西,西安,710055 |
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| 基金项目： | Supported by the Speaial Science Foundation of the Edneational Committee of Shaanxi Province(oojk207). |
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| 摘 要： | 本文在饱和的非标准模型中把无穷小延伸定理推广到网的情形,做为应用,利用推广了的无穷小延伸定理给出拓扑空间中连续泛函的一个重要性质的离散化证明.
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| 关 键 词： | 无穷小延伸定理 饱和 一致结构的单子 一致收敛拓扑 |
| 收稿时间： | 6/2/2000 12:00:00 AM |
The Extension of Infinitesimal Prolongation Theorem and Its Application |
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| CHEN Dong-li.The Extension of Infinitesimal Prolongation Theorem and Its Application[J].Journal of Mathematical Research with Applications,2003,23(2):221-224. |
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| Authors: | CHEN Dong-li |
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| Institution: | Xi'an University of Architecture and Technology; Shaanxi; China |
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| Abstract: | Infinitesimal prolongation theorem is extended from sequences to nets based on k-saturated nonstandard model. As its an application, a main property about topology of uniform convergence is proved. The proof is much simpler than it was, meanwhile the nonstandard characteristics of convergence with respect to n.c. topology is given. |
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| Keywords: | Infinitesimal Prolongation Theorem k-saturation monad of uniformity topology of uniform convergence |
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