×

zbMATH — the first resource for mathematics

Remarks on Efimov’s theorem about differential tests of homeomorphism. (English) Zbl 0758.58006
The main result: If a \(C^ 1\)-mapping \(f\) of the plane into the plane satisfies conditions similar to the ones of known Efimov’s theorem [N. V. Efimov, Mat. Sb., n. Ser. 76(118), 499-512 (1968; Zbl 0164.215)], then \(f\) is a diffeomorphism and \(f(\mathbb{R}^ 2)=\mathbb{R}^ 2\).

MSC:
58C25 Differentiable maps on manifolds
PDF BibTeX XML Cite