The Extension of Robinson's Sequential Lemma and Its Application

Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (3): 471-474.

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)

Abstract

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

CLC Number:

O141.41

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.

The Extension of Robinson's Sequential Lemma and Its Application

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