Unwinding spirals

Alexander Fish; Laurentiu Paunescu

arxiv: 1603.03145 · v1 · pith:AOCVSCDEnew · submitted 2016-03-10 · 🧮 math.GT · math.MG

Unwinding spirals

Alexander Fish , Laurentiu Paunescu This is my paper

classification 🧮 math.GT math.MG

keywords spiralbi-lipschitzdecayexamplehomeomorphismlogarithmicmapsmathbb

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We show that there is no bi-Lipschitz homeomorphism of $\mathbb{R}^2$ 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.

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Unwinding spirals

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