A closed graph theorem for hyperbolic iterated function systems
In this note, we introduce the notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of such a morphism is the attractor of an iterated function system, giving a closed graph theorem, and demonstrate how it can be used to approach the topological conjugacy pr...
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| Veröffentlicht in: | Journal of fractal geometry 2022-01, Vol.9 (3), p.325-336 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this note, we introduce the notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of such a morphism is the attractor of an iterated function system, giving a closed graph theorem, and demonstrate how it can be used to approach the topological conjugacy problem for iterated function systems. |
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| ISSN: | 2308-1309 2308-1317 |
| DOI: | 10.4171/jfg/116 |