A Closed Graph Theorem for hyperbolic iterated function systems

Abstract

In this note we introduce a notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of a morphism is the attractor of an iterated function system, giving a Closed Graph Theorem, and show how it can be used to approach the topological conjugacy problem for iterated function systems.

arXiv comment8 pages, 1 figure