The classification of critically preperiodic polynomials as dynamical systems

FIGURE 1.5.The set Kp for p(z) = z2 + i with external rays.725 Consider the equivalence relation '" K on C for which the nontrivial equiv: alence classes are exactly the convex hulls of sets {e 2nit I tEa nontrivial equivalence class under '" K} • Proposition.There exists a homeomorphism a/pairs h: (C, D)/ r