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arXiv · 2303.11482

On the group of homeomorphisms of the Basilica

Yury A. Neretin
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Abstract

We show that the group of all homeomorphisms of the Basilica fractal coincides with a group of transformations of a certain non-locally finite ribbon tree. Also, we show that Basilica Thompson group defined by Belk and Forrest is dense in the group of all orientation preserving homeomorphisms of the Basilica.

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Yury A. Neretin. 2023-03-20. On the group of homeomorphisms of the Basilica. https://arxiv.org/abs/2303.11482

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