Geodesic
On Efimov's theorem on differential tests for a homeomorphism
Sbornik. Mathematics, Tome 69 (1991) no. 1, pp. 197-202 
V. A. Aleksandrov. On Efimov's theorem on differential tests for a homeomorphism. Sbornik. Mathematics, Tome 69 (1991) no. 1, pp. 197-202. http://geodesic.mathdoc.fr/item/SM_1991_69_1_a11/
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     title = {On {Efimov's} theorem on differential tests for a~homeomorphism},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The author obtains a new formulation of Efimov's differential condition which guarantees that a mapping $f\colon\mathbb R^2\to\mathbb R^2$ is a homeomorphism, and uses it to obtain, with the aid of the Hadamard–Lévy–John global inverse function theorem, differential conditions under which f is not only injective but also surjective.

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