A code space for a generalized IFS
Geometric Topology
2013-12-10 v2 Dynamical Systems
Abstract
We study the concept of a code (or shift) space for a generalized iterated function system (GIFS in short). We prove that relations between GIFSs and their code spaces are analogous to the case of classical IFSs. As an application, we consider the problem of connectedness of attractors of GIFSs. Many of our results are strengthenings of the ones proved recently by Mihail, Miculescu and Secelean, but some are completely new.
Keywords
Cite
@article{arxiv.1310.3097,
title = {A code space for a generalized IFS},
author = {Filip Strobin and Jarosław Swaczyna},
journal= {arXiv preprint arXiv:1310.3097},
year = {2013}
}
Comments
15 pages