On open analytic and subanalytic mappings

DOI10.1080/17476933.2016.1200035zbMath1367.32010OpenAlexW2463749155MaRDI QIDQ2960587

Maciej P. Denkowski, Jean-Jacques Loeb

Publication date: 17 February 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1200035

zbMATH Keywords

proper mappingsopen mappingssubanalytic mapsdefinable maps

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Implicit function theorems, Jacobians, transformations with several variables (26B10) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (5)

Definable continuous mappings and Whyburn’s conjecture ⋮ Some classical analysis results for continuous definable mappings ⋮ New inverse and implicit function theorems for differentiable maps with isolated critical points ⋮ Differentiable maps with isolated critical points are not necessarily open in infinite dimensional spaces ⋮ Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps

Cites Work

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• The Kuratowski convergence and connected components
• Surjectivity of certain injective semialgebraic transformations of \({\mathbb{R}}\) n
• A counterexample to the strong real Jacobian conjecture
• Jacobians and branch points of real analytic open maps
• Polynomial images of \(\mathbb{R}^n\)
• On open real polynomial maps
• Differential Topology

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