Injectivity of polynomial local homeomorphisms of Rn

DOI10.1016/0362-546X(94)00328-FzbMath0845.58014OpenAlexW1969945379WikidataQ123124594 ScholiaQ123124594MaRDI QIDQ4861601

Anna Cima, Francesc Mañosas, Armengol Gasull

Publication date: 3 September 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00328-f

zbMATH Keywords

polynomial mapsreal jacobian conjecturedifferentiable maps in \(\mathbb{R}^ n\)

Mathematics Subject Classification ID

Differentiable mappings in differential topology (57R35) Differentiable maps on manifolds (58C25)

Related Items

A new qualitative proof of a result on the real jacobian conjecture ⋮ A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds ⋮ On necessary and sufficient conditions for the real Jacobian conjecture ⋮ A generalization of the Poincaré compactification and the real Jacobian conjecture ⋮ A sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds ⋮ Growth at infinity and index of polynomial maps ⋮ Injectivity of real polynomial maps and Łojasiewicz exponents at infinity ⋮ Polynomial maps with maximal multiplicity and the special closure ⋮ A Note on Proper Polynomial Maps ⋮ Simple examples of planar involutions with non-global Montgomery-Bochner linearizations ⋮ A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Jacobian criterion for separability
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• On global univalence theorems
• Light open maps on \(n\)-manifolds. I, II
• One-One Polynomial Maps
• Injective Morphisms of Real Algebraic Varieties
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Ganze Cremona-Transformationen