关于可逆映射与可微同胚的若干结果
首发时间:2019-06-05
摘要:本文不仅通过介绍可逆映射的一些基本性质,以及可微同胚以及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,而且进一步地研究了单侧可逆和广义逆的性质,加深了对于可逆映射的了解和掌握.
关键词: 逆映射 开映射 Lipschitz映射 Lip -同胚 可微映射 连续可微映射 可微同胚 右可逆 左可逆 开映射。
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Some results on reversible mapping and differentiable homeomorphism
Abstract:This paper not only introduces some basic properties of reversible mapping, but also some corresponding conclusions of differentiable homeomorphism and Lip-homeomorphism, and further studies the properties of unilateral reversible and generalized inverse. Deepen the understanding and mastery of reversible mapping.
Keywords: Inverse mapping Open mapping Lipschitz mapping Lip-homeomorphic Differentiable mapping Continuous differentiable mapping Can be slightly homeomorphic Right reversible Left reversible Open Map
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