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arXiv · 2208.14253

Split square and split carpet as examples of non-metrizable IFS attractors

Krzysztof Leśniak·Magdalena Nowak
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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.

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Krzysztof Leśniak, Magdalena Nowak. 2022-08-30. Split square and split carpet as examples of non-metrizable IFS attractors. https://doi.org/10.4064/bc125-6

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