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This article is cited in 2 scientific papers (total in 2 papers)
On Efimov's theorem on differential tests for a homeomorphism
V. A. Aleksandrov Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Abstract:
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.
Received: 06.06.1988
Citation:
V. A. Aleksandrov, “On Efimov's theorem on differential tests for a homeomorphism”, Math. USSR-Sb., 69:1 (1991), 197–202
Linking options:
https://www.mathnet.ru/eng/sm1150https://doi.org/10.1070/SM1991v069n01ABEH001936 https://www.mathnet.ru/eng/sm/v181/i2/p183
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