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.
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.
作者
王娟
WANG Juan(School of Military Basic Education,Engineering University of PAP,Xi’an 710068,China)
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
mathematical logic and foundation of mathematics
inverse mapping
Lipschitz mapping
Lip-homeomorphism
differentiable mapping
continuous differentiable mapping
作者简介
王娟(1980—),女,讲师,主要研究方向:军事理论.E-mail:2285710236@qq.com
