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| THE NECESSARV AND SUFFICIENT CONDITIONS FOR LIPSCHITZ LOCAL HOMEOMORPHISM |
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Citation： |
Fan Xianling（范先令）.THE NECESSARV AND SUFFICIENT CONDITIONS FOR LIPSCHITZ LOCAL HOMEOMORPHISM[J].Chinese Annals of Mathematics B,1992,13(1):40~45 |
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Net amount： 1048 |
Authors： |
Fan Xianling（范先令）; |
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| Abstract： |
For a locally Lipschitz map f:$R^{n}\rightarrow R^{n}$,the well known inverse functin theorem gives a sufficient condition for f to be a Lipschitz local homeomorphims at a point $x_{0}$,that is,$\partial f(x_{0}$ is invertible.In this paper,it is showed that this condition is not necessary and some necessary and sufficient conditions are given. |
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