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:
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arXiv e-prints
- Pub Date:
- July 2021
- DOI:
- 10.48550/arXiv.2107.11940
- arXiv:
- arXiv:2107.11940
- Bibcode:
- 2021arXiv210711940M
- Keywords:
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- Mathematics - Dynamical Systems;
- 37B35 (Primary) 28A80 (Secondary)
- E-Print:
- 8 pages, 1 figure