Embedding topological fractals in universal spaces
  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. 
Taras Banakh and Filip Strobin
math.GN math.MG