The N\(^{-1}\)-property of maps and Luzin's condition (N)

DOI10.1007/BF02304773zbMath0862.26005OpenAlexW2072637957MaRDI QIDQ1916637

S. P. Ponomarev

Publication date: 21 April 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02304773

zbMATH Keywords

superpositionsdifferentiability a.e.Luzin (N)-conditionmaximal rank of approximate derivativesN\(^{-1}\)-property

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Representation and superposition of functions (26B40)

Related Items (22)

Topological mappings of finite area distortion ⋮ Dirichlet problem for the general Beltrami equation in Jordan domains ⋮ On the property \(N^{- 1}\) ⋮ On recent advances in the Beltrami equations ⋮ Estimates for Jacobian and dilatation coefficients of open discrete mappings with controlled \(p\)-module ⋮ On the existence of solutions of quasilinear Beltrami equations with two characteristics ⋮ On Beltrami equations with inverse conditions and hydrodynamic normalization ⋮ The inverse Poletsky inequality in one class of mappings ⋮ Absolute continuity in higher dimensions ⋮ Regularity of Mappings with Integrally Restricted Moduli ⋮ On the existence of solutions of the Beltrami equations with conditions on inverse dilatations ⋮ Logarithmic Hölder continuous mappings and Beltrami equation ⋮ Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms ⋮ On the compactness of classes of the solutions of the Dirichlet problem ⋮ To the theory of variational method for Beltrami equations ⋮ On the theory of convergence and compactness for Beltrami equations with constraints of set-theoretic type ⋮ Boundary behavior of ring \(Q\)-homeomorphisms on Riemannian manifolds ⋮ Topological mappings of finite area distortion ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property ⋮ On the theory of convergence and compactness for Beltrami equations ⋮ Mappings with finite length distortion ⋮ On ring solutions of Beltrami equations

Cites Work

• Taming Cantor sets in 𝐸ⁿ
• Piecewise Linear Isotopy and Embedding of Elements and Spheres (I)
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