Geodesic
On Efimov's theorem on differential tests for a~homeomorphism
Sbornik. Mathematics, Tome 69 (1991) no. 1, pp. 197-202

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. 
@article{SM_1991_69_1_a11,
     author = {V. A. Aleksandrov},
     title = {On {Efimov's} theorem on differential tests for a~homeomorphism},
     journal = {Sbornik. Mathematics},
     pages = {197--202},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1991_69_1_a11/}
}
TY  - JOUR
AU  - V. A. Aleksandrov
TI  - On Efimov's theorem on differential tests for a~homeomorphism
JO  - Sbornik. Mathematics
PY  - 1991
SP  - 197
EP  - 202
VL  - 69
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1991_69_1_a11/
LA  - en
ID  - SM_1991_69_1_a11
ER  - 
%0 Journal Article
%A V. A. Aleksandrov
%T On Efimov's theorem on differential tests for a~homeomorphism
%J Sbornik. Mathematics
%D 1991
%P 197-202
%V 69
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1991_69_1_a11/
%G en
%F SM_1991_69_1_a11
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/