Split square and split carpet as examples of non-metrizable IFS attractors
Volume 125 / 2023
Banach Center Publications 125 (2023), 71-79
MSC: Primary 28A80; Secondary 47H09, 54H20.
DOI: 10.4064/bc125-6
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.
