Split square and split carpet as examples of non-metrizable IFS attractors
Dynamical Systems
2023-11-06 v2
Abstract
We define two non-metrizable compact spaces and show that they are attractors of iterated function systems. Both of them, the split square and the split carpet, are constructed using the product of split intervals.
Cite
@article{arxiv.2208.14253,
title = {Split square and split carpet as examples of non-metrizable IFS attractors},
author = {Krzysztof Leśniak and Magdalena Nowak},
journal= {arXiv preprint arXiv:2208.14253},
year = {2023}
}
Comments
7 pages, 2 figures