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Local homeo- and diffeomorphisms: invertibility and convex image
Published online by Cambridge University Press: 17 April 2009
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We prove a necessary and sufficient condition for a local homeomorphism defined on an open, connected subset of a Euclidean space to be globally one-to-one and, at the same time, for the image to be convex. Among the applications we give a practical sufficiency test for invertibility for twice differentiable local diffeomorphisms defined on a ball.
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- Copyright © Australian Mathematical Society 1994
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