A closed graph theorem for hyperbolic iterated function systems

Journal of fractal geometry: mathematics of fractals and related topics

article

Alexander Mundey¹ 

[1] University of Wollongong

关键词: Iterated function system;    closed graph theorem;    hyperbolic;    fractal;    morphism;    conjugacy;   

DOI  :  10.4171/jfg/116

来源: European Mathematical Society

【 摘 要 】

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.

【 授权许可】

Unknown