Magdalena Nowak: Counterexamples for IFS-attractors
20/04/16 15:22
Monday, April 25, 2016 17:15
Room: 604 IM
Speaker: Magdalena Nowak
Title: Counterexamples for IFS-attractors
Abstract. I deal with the part of Fractal Theory related to finite families of (weak) contractions, called iterated function systems (IFS). An attractor is a compact set which remains invariant for such a family. Thus, I consider spaces homeomorphic to attractors of either IFS or weak IFS, as well, which I will refer to as Banach and topological fractals, respectively. I present a collection of counterexamples in order to show that all the presented definitions are essential, though they are not equivalent in general.
Room: 604 IM
Speaker: Magdalena Nowak
Title: Counterexamples for IFS-attractors
Abstract. I deal with the part of Fractal Theory related to finite families of (weak) contractions, called iterated function systems (IFS). An attractor is a compact set which remains invariant for such a family. Thus, I consider spaces homeomorphic to attractors of either IFS or weak IFS, as well, which I will refer to as Banach and topological fractals, respectively. I present a collection of counterexamples in order to show that all the presented definitions are essential, though they are not equivalent in general.