| 网的无穷小延伸定理及其应用 |
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| 引用本文： | 陈东立.网的无穷小延伸定理及其应用[J].数学研究,1996,29(3):41-43. |
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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 |
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| 摘 要： | 在ｋ－饱和的超幂非标准模型中将序列的无穷小延伸定理推广到网的情形并利用网的无穷小延伸定理给出函数空间一致收敛拓扑的一个主要性质的直观简短的离散化证明．
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| 关 键 词： | 无穷小延伸定理，k－饱和，一致结构的单子，一致收敛拓扑 |
Infinitesimal Prolongation Theorem on Nets and Its Application |
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| Chen Dengli.Infinitesimal Prolongation Theorem on Nets and Its Application[J].Journal of Mathematical Study,1996,29(3):41-43. |
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| Authors: | Chen Dengli |
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| Institution: | Xinen University of Architecture and Technology |
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| Abstract: | In this paper,we extend Infinitesimal prolongation theorem from sequences to nets in k-saturatednonstanddard model.As its application, we prove a main property about topology of uniform Convergence. |
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| Keywords: | Infinitesimal prolongation theorem k-saturation monad of uniformity toplogy of uniform convergence |
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