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arXiv · 1407.7687

Embedding topological fractals in universal spaces

Taras Banakh·Filip Strobin
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Abstract

Let $X$ be a universal (Urysohn) space. We prove that every topological fractal is homeomorphic (isometric) to the attractor $A_{\mathcal F}$ of a function system ${\mathcal F}$ on $X$ consisting of Rakotch contractions.

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Taras Banakh, Filip Strobin. 2014-07-29. Embedding topological fractals in universal spaces. https://arxiv.org/abs/1407.7687

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