Add to ORKGWe prove a new Morse-Sard-type theorem for the asymptotic critical values of semi-algebraic mappings and a new fibration theorem at infinity for C-2 mappings. We show the equivalence of three different types of regularity conditions which have been used in the literature in order to control the asymptotic behaviour of mappings. The central role of our picture is played by the p-regularity and its bridge toward the rho-regularity which implies topological triviality at infinity
We use an inequality due to Bochnak and Lojasiewicz, which follows from the Curve Selection Lemma of...
This thesis analyses the semialgebraic sets, that is, a finite union of solu- tions to a finite sequ...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
We prove a new Morse-Sard-type theorem for the asymptotic critical values of semi-algebraic mappings...
This dissertation consists of a detailed study of the techniques belonging to the theory of general...
The classical Morse-Sard theorem claims that for a mapping v : R-n -> Rm+1 of class C-k the measu...
AbstractIf F is a set-valued mapping from Rn into Rm with closed graph, then y∈Rm is a critical valu...
In the paper we extend the Morse\u2013Sard Theorem to mappings u belonging to the Sobolev class Wn,n...
The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic s...
Let Ω be an open subset of R n . Consider a differentiable map u : Ω → R m . For many application in...
The Morse-Sard theorem requires that a mapping v : ℝn → ℝm is of class Ck, k > max(n - m, 0). In 195...
Abstract The Morse-Sard theorem states that the set of critical values of a Ck smooth function defin...
AbstractWe extend the Morse–Sard theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) wit...
Abstract. We prove that the set of critical values of the distance function from a submanifold of a ...
Suslin analytic sets characterize the sets of asymptotic values of entire holomorphic functions. By ...
We use an inequality due to Bochnak and Lojasiewicz, which follows from the Curve Selection Lemma of...
This thesis analyses the semialgebraic sets, that is, a finite union of solu- tions to a finite sequ...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
We prove a new Morse-Sard-type theorem for the asymptotic critical values of semi-algebraic mappings...
This dissertation consists of a detailed study of the techniques belonging to the theory of general...
The classical Morse-Sard theorem claims that for a mapping v : R-n -> Rm+1 of class C-k the measu...
AbstractIf F is a set-valued mapping from Rn into Rm with closed graph, then y∈Rm is a critical valu...
In the paper we extend the Morse\u2013Sard Theorem to mappings u belonging to the Sobolev class Wn,n...
The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic s...
Let Ω be an open subset of R n . Consider a differentiable map u : Ω → R m . For many application in...
The Morse-Sard theorem requires that a mapping v : ℝn → ℝm is of class Ck, k > max(n - m, 0). In 195...
Abstract The Morse-Sard theorem states that the set of critical values of a Ck smooth function defin...
AbstractWe extend the Morse–Sard theorem to mappings u belonging to the Sobolev class Wn,n(Rn,R) wit...
Abstract. We prove that the set of critical values of the distance function from a submanifold of a ...
Suslin analytic sets characterize the sets of asymptotic values of entire holomorphic functions. By ...
We use an inequality due to Bochnak and Lojasiewicz, which follows from the Curve Selection Lemma of...
This thesis analyses the semialgebraic sets, that is, a finite union of solu- tions to a finite sequ...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...