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.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 DOI:
 10.48550/arXiv.2107.11940
 arXiv:
 arXiv:2107.11940
 Bibcode:
 2021arXiv210711940M
 Keywords:

 Mathematics  Dynamical Systems;
 37B35 (Primary) 28A80 (Secondary)
 EPrint:
 8 pages, 1 figure