A Closed Graph Theorem for hyperbolic iterated function systems
Dynamical Systems
2023-05-04 v1
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.
Cite
@article{arxiv.2107.11940,
title = {A Closed Graph Theorem for hyperbolic iterated function systems},
author = {Alexander Mundey},
journal= {arXiv preprint arXiv:2107.11940},
year = {2023}
}
Comments
8 pages, 1 figure