Topological Methods in Modern Mathematics LOCAL CONNECTIVITY OF JULIA SETS AND BIFURCATION LOCI : THREE THEOREMS OF J

@inproceedings{HubbardTopologicalMI,
title={Topological Methods in Modern Mathematics LOCAL CONNECTIVITY OF JULIA SETS AND BIFURCATION LOCI : THREE THEOREMS OF J},
author={Hans Hubbard}
}

KP = { z ∈ C | the sequence P ◦k(z) is bounded }. We will write Pc(z) = z2 + c, and Kc, etc., when discussing quadratic polynomials speciˇcally. If P is monic of degree d with KP connected, there is then a unique conformal mapping φP : C − KP → C − S D which satisˇes φP (P (z)) = (φP (z)) and tangent to the identity at ∞. We call RP (θ) = φ−1 P ({re 2πiθ , r > 1}) the external ray of KP at angle θ . In the quadratic parameter space, let