Incompressibility and global inversion
| Autor: | Balreira, E. Cabral |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Zdroj: | Topol. Methods Nonlinear Anal. 35, no. 1 (2010), 69-76 |
| Popis: | Given a local diffeomorphism $f\colon \mathbb{R}^n\to \mathbb{R}^n$, we consider certain incompressibility conditions on the parallelepiped $Df(x)([0,1]^n)$ which imply that the pre-image of an affine subspace is non-empty and has trivial homotopy groups. These conditions are then used to establish criteria for $f$ to be globally invertible, generalizing in all dimensions the previous results of M. Sabatini. |
| Databáze: | OpenAIRE |
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