17 citations · 52 across the 20 of their papers we have counts for
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math.GN2015★ 10 cited
Detecting topological and Banach fractals among zero-dimensional spaces
Taras Banakh, Magdalena Nowak, Filip Strobin
A topological space is called a topological fractal if for a finite system of continuous self-maps of , which is topologically…
math.GN2014
Embedding topological fractals in universal spaces
Taras Banakh, Filip Strobin
Let be a universal (Urysohn) space. We prove that every topological fractal is homeomorphic (isometric) to the attractor of a function system on…
math.GN2014★ 2 cited
Contractive function systems, their attractors and metrization
Taras Banakh, Wieslaw Kubis, Natalia Novosad +2
In this paper we study the Hutchinson-Barnsley theory of fractals in the setting of multimetric spaces (which are sets endowed with point separating families of pseudometrics) and…