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On transverse hyperplanes to self-similar Jordan arcs.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tetenov, Andrey |
| Copyright Year | 2014 |
| Abstract | We consider self-similar Jordan arcs γ in \(\mathbb{R}^{d}\), 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 ∈ γ, for which there is a hyperplane, intersecting γ at the point x only, is nowhere dense in γ. |
| Starting Page | 147 |
| Ending Page | 156 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/978-3-319-08105-2_8 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1309.0332v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/978-3-319-08105-2_8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
