Document Type
Post-Print
Publication Date
3-2010
Abstract
Given a local diffeomorphism ƒ : ℝn → ℝn, we consider certain in- compressibility conditions on the parallelepiped Dƒ(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 ƒ to be globally invertible, generalizing in all dimensions the previous results of M. Sabatini.
Publisher
Juliusz Schauder Center
Repository Citation
Balreira, E.C. (2010). Incompressibility and global inversion. Topological Methods in Nonlinear Analysis, 35(1), 69-76.
Publication Information
Topological Methods in Nonlinear Analysis