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We study the global homeomorphism of a continuous nonsmooth mappings between Riemannian manifolds which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to
f : M ï¿½?? N where M and N are Riemannian manifolds and we consider a related index of regularity for f . We obtain a characterization of global homeomorphisms in terms of its index of regularity.
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