On global invertibility of semi-algebraic local diffeomorphisms
From MaRDI portal
Publication:2075756
DOI10.12775/TMNA.2021.004zbMath1484.14112arXiv2006.07354OpenAlexW3035172706MaRDI QIDQ2075756
Francisco Braun, Luis Renato G. Dias, Jean Venato-Santos
Publication date: 15 February 2022
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.07354
Jacobian problem (14R15) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Topological properties of mappings on manifolds (58K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Foliations and global injectivity in \(\mathbb R^{n }\)
- Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\)
- Foliations and polynomial diffeomorphisms of \(\mathbb R^3\)
- Sur la topologie des polynômes complexes. (Topology of complex polynomials)
- Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
- Asymptotic behaviour of families of real curves
- Testing sets for properness of polynomial mappings
- A counterexample to the strong real Jacobian conjecture
- A geometrical approach to the Jacobian conjecture for \(n=2\)
- Global inversion via the Palais-Smale condition
- On the Łojasiewicz exponent at infinity for polynomial functions
- Polynomial automorphisms and the Jacobian conjecture
- Geometry of real polynomial mappings
- Semialgebraic Sard theorem for generalized critical values.
- On global univalence theorems
- A solution to the bidimensional global asymptotic stability conjecture
- Singularities at infinity and their vanishing cycles
- Incompressibility and global inversion
- Regularity at infinity of real mappings and a Morse-Sard theorem
- Jacobian Conjecture and semi-algebraic maps
- Fibrations of real valued functions
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- Injective endomorphisms of algebraic and analytic sets
- The set of points at which a polynomial map is not proper
- Bifurcation values of families of real curves
- Bifurcation set of multi-parameter families of complex curves
- On the Injectivity of C1 Maps of the Real Plane
- On topological approaches to the Jacobian conjecture in ℂn
- An extension to Hadamard global inverse function theorem in the plane
- Global Injectivity ofC1Maps of the Real Plane, Inseparable Leaves and the Palais–Smale Condition
- Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion
