2016/03/10 by Alexander Fish, Fish, Alexander, Laurenţiu Păunescu +1
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Mathematics and Applications #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.1603.03145
openalex publication_date 2016/03/10 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We show that there is no bi-Lipschitz homeomorphism of ℝ2 that maps a spiral with a sub-exponential decay of winding radii to an unwinded arc. This result is sharp as shows an example of a logarithmic spiral.