Hausdorff metric; countable iterated function system; attractor
In this paper we will demonstrate that, in some conditions, the attractor of a countable iterated function system is a parameterized curve. This fact results by generalizing a construction of J. E. Hutchinson [Hut81].
 Secelean N. A.: Countable Iterated Fuction Systems
. Far East J. Dyn. Syst., Pushpa Publishing House, vol. 3(2) (2001), 149–167. MR 1900096