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关于可逆映射与可微同胚的若干结果

发表时间:2020-03-31  浏览量:229  下载量:17
全部作者: 王娟
作者单位: 武警工程大学军事基础教育学院
摘 要: 本文不仅通过介绍可逆映射的一些基本性质,以及可微同胚和Lip-同胚的某些相应结论,对逆映射定理作了更为深刻的刻画,而且进一步研究了单侧可逆和广义逆的性质,加深人们对于可逆映射的了解和掌握。
关 键 词: 数理逻辑与数学基础;逆映射;Lipschitz映射;Lip-同胚;可微映射;连续可微映射
Title: Some results on reversible mapping and differentiable homeomorphism
Author: WANG Juan
Organization: School of Military Basic Education, Engineering University of PAP
Abstract: Some basic properties of reversible mapping are not only introduced in this paper, as well as some corresponding conclusions of differentiable homeomorphism and Lip-homeomorphism, therefore the inverse mapping theorem is described more deeply. And the properties of unilateral reversible and generalized inverse are further studied, which deepen our understanding and mastery of reversible mapping.
Key words: mathematical logic and foundation of mathematics; inverse mapping; Lipschitz mapping; Lip-homeomorphism; differentiable mapping; continuous differentiable mapping
发表期数: 2020年3月第1期
引用格式: 王娟. 关于可逆映射与可微同胚的若干结果[J]. 中国科技论文在线精品论文,2020,13(1):33-37.
 
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