On transverse hyperplanes to self-similar Jordan arcs

Andrey Tetenov

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arXiv · 1309.0332

On transverse hyperplanes to self-similar Jordan arcs

Andrey Tetenov

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Abstract

We consider self-similar Jordan arcs $γ$ in $R^d$, different from a line segment and show that they cannot be projected to a line bijectively. Moreover, we show that the set of points $x\inγ$, for which there is a hyperplane, intersecting $γ$ at the point x only, is nowhere dense in $γ$. .

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Andrey Tetenov. 2013-09-02. On transverse hyperplanes to self-similar Jordan arcs. https://arxiv.org/abs/1309.0332

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