罗宾逊序列引理的推广及其应用

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 471-474.

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罗宾逊序列引理的推广及其应用

1. School of Science Xi'an University of Architecture and Technology 2. School of Statistics Tianjin University of Finance and Economics

收稿日期:2004-11-23 出版日期:2007-09-30 发布日期:2023-10-30
作者简介: CHEN Dong-li(1963-), male, native of Xi'an, Shaanxi, a professor of Xi'an University of Architecture and Technology, engages in applied nonstandard analysis.
基金资助:
Supported by the Basic Research Foundation of Xi'an University Architecture Technol- ogy(JC0620); Supported by the Youth Science and Technology Foundation of Xi'an University of Architecture and Technology(QN0736)

The Extension of Robinson's Sequential Lemma and Its Application

1. School of Science Xi'an University of Architecture and Technology 2. School of Statistics Tianjin University of Finance and Economics

Received:2004-11-23 Online:2007-09-30 Published:2023-10-30
About author: CHEN Dong-li(1963-), male, native of Xi'an, Shaanxi, a professor of Xi'an University of Architecture and Technology, engages in applied nonstandard analysis.
Supported by:
Supported by the Basic Research Foundation of Xi'an University Architecture Technol- ogy(JC0620); Supported by the Youth Science and Technology Foundation of Xi'an University of Architecture and Technology(QN0736)

摘要/Abstract

摘要： A.Robinson’s sequential lemma is extended to nets in general topological space, and obviously the case of nets in *R is its corollary.As its application,the paper proves a property about topology of uniform convergence.
基金资助： the Basic Research Foundation of Xi’an University Architecture Technology(JC0620)； the Youth Science and Technology Foundation of Xi’an University of Architecture and Technology(QN0736)；

关键词: Robinson's sequential lemma, monad, monad of uniformity, topology of uniform
convergence

Abstract: A.Robinson’s sequential lemma is extended to nets in general topological space, and obviously the case of nets in *R is its corollary.As its application,the paper proves a property about topology of uniform convergence.
基金资助： the Basic Research Foundation of Xi’an University Architecture Technology(JC0620)； the Youth Science and Technology Foundation of Xi’an University of Architecture and Technology(QN0736)；

Key words: Robinson's sequential lemma, monad, monad of uniformity, topology of uniform
convergence

中图分类号:

O141.41

陈东立, 马春晖, 卢志义. 罗宾逊序列引理的推广及其应用[J]. 数学季刊, 2007, 22(3): 471-474.

CHEN Dong-li, MA Chun-hui, LU Zhi-yi. The Extension of Robinson's Sequential Lemma and Its Application[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 471-474.

罗宾逊序列引理的推广及其应用

The Extension of Robinson's Sequential Lemma and Its Application

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