The Box Counting Dimension of The Condensation Set

Abstract

In this paper We will find the dimension of some fractals that are called the condensation sets constructed by the iterated function system on H(X), and we will prove that the condensation set exists and it is unique in the space of fractalss H(X). Also, in this paper we will prove that the dimension of the condensation set which is called C of the fractal set A0 has the same dimension of A0