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Embedding topological fractals in universal spaces

Published 29 Jul 2014 in math.GN and math.MG | (1407.7687v1)

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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