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Self-Similar Jordan Arcs Which Do Not Satisfy OSC
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tetenov, Andrey Kamalutdinov, Kirill Vaulin, Dmitry |
| Copyright Year | 2015 |
| Abstract | It was proved in 2007 by C.Bandt and H.Rao that if a system $S = \{S_1 , ., S_m \}$ of contraction similarities in $R^2$ with a connected attractor $K$ has the finite intersection property, then it satisfies OSC. We construct a self-simiilar Jordan arc in $R^3$, defined by a system $S$ , which does not satisfy OSC and at the same time has one-point intersection property. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1512.00290v2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
