Abstract

Let k_1, k_2, k_3, … be a sequence of positive integers and be greater than or equal to 2. For each positive integer n, let C_n be a unit circle {z:|z|=1}, and f_n be a map of C_(n+1) onto C_n defined by f_n(z)=z~kn. The inverse limit space M of the sequence {C_n, f_n) is called a solenoid. For convenience, we define the distance d_n(x, y) between two

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