Bi-Lipschitz characterization of space curves
Algebraic Geometry
2023-01-31 v1
Abstract
In the paper \cite{renato} Renato Targino shows that bi-Lipschitz type of plane curve is determined by the local ambient topological properties of curves. Here we show that it is not longer true in higher dimensions. However we show that bi-Lipschitz type of space curves is determined by the number of singular points and by the local ambient topological type of a generic projection of such curves into the affine plane.
Keywords
Cite
@article{arxiv.2301.12875,
title = {Bi-Lipschitz characterization of space curves},
author = {Alexandre Fernandes and Zbigniew Jelonek},
journal= {arXiv preprint arXiv:2301.12875},
year = {2023}
}
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5 pages