Add to ORKGAbstract. Let Y: Rn → Rn be a polynomial local diffeomorphism and let SY denote the set of not proper points of Y. The Jelonek’s real Jacobian Conjecture states that if codim(SY) ≥ 2, then Y is bijective. We prove a weak version of such conjecture establish-ing the sufficiency of a necessary condition for bijectivity. Furthermore, we generalize our result on bijectivity to semialgebraic local diffeomorphisms. 1
AbstractIf a local homeomorphism of the real plane, h = (f,g) : R2 → R2, is not one-to-one, then bot...
We consider topological conditions under which a locally invertible map admits a global inverse. Our...
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant whichg...
Let F : 'R POT.N' → 'R POT.N' be a polynomial local diffeomorphism and let 'S IND.F' denote the set ...
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y...
Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere dened maps ...
AbstractA criterion for a Samulson map to be injective and a criterion for such a map to be a global...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
Motivated by conjecture Jacobian, it presents a change considering semi-algebraic maps and interesti...
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The fir...
The basic element is a $C^1$ mapping $f:X\to Y$, with $X,Y$ Banach spaces, and with derivati...
Abstract. Implementations of known reductions of the Strong Real Jacobian Conjecture (SRJC), to the ...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractIf a local homeomorphism of the real plane, h = (f,g) : R2 → R2, is not one-to-one, then bot...
We consider topological conditions under which a locally invertible map admits a global inverse. Our...
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant whichg...
Let F : 'R POT.N' → 'R POT.N' be a polynomial local diffeomorphism and let 'S IND.F' denote the set ...
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y...
Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere dened maps ...
AbstractA criterion for a Samulson map to be injective and a criterion for such a map to be a global...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
Motivated by conjecture Jacobian, it presents a change considering semi-algebraic maps and interesti...
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The fir...
The basic element is a $C^1$ mapping $f:X\to Y$, with $X,Y$ Banach spaces, and with derivati...
Abstract. Implementations of known reductions of the Strong Real Jacobian Conjecture (SRJC), to the ...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractIf a local homeomorphism of the real plane, h = (f,g) : R2 → R2, is not one-to-one, then bot...
We consider topological conditions under which a locally invertible map admits a global inverse. Our...
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant whichg...