This article is cited in 1 scientific paper (total in 1 paper)
On Efimov's theorem on differential tests for a homeomorphism
V. A. Aleksandrov
Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
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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Mathematics of the USSR-Sbornik, 1991, 69:1, 197–202
V. A. Aleksandrov, “On Efimov's theorem on differential tests for a homeomorphism”, Mat. Sb., 181:2 (1990), 183–188; Math. USSR-Sb., 69:1 (1991), 197–202
Citation in format AMSBIB
\paper On Efimov's theorem on differential tests for a~homeomorphism
\jour Mat. Sb.
\jour Math. USSR-Sb.
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Zorich V., “The Global Homeomorphism Theorem for Space Quasi-Conformal Mappings, its Development and Related Open Problems”, Lect. Notes Math., 1508 (1992), 132–148
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