Geometry of Pinchuk's map

1999/03/03 by Janusz Gwoździewicz, Gwoździewicz, Janusz
Engineering · Mathematics · #14E07 #14E35 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Control and Dynamics of Mobile Robots #FOS: Mathematics #Mathematics and Applications #math.AG #msc:14E07 #msc:14E35

paper · pdf · doi:10.48550/arxiv.math/9903026

LaTeX, 7 pages, 2 Postscript figures

arxiv created 1999/03/03 · openalex publication_date 1999/03/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Sergey Pinchuk found a polynomial map from the real plane to itself which is a local diffeomorphism but is not one-to-one. The aim of this paper is to give a geometric description of Pinchuk's map.

Citations

• Picturing Pinchuk's Plane Polynomial Pair

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