Topological Methods in Modern Mathematics LOCAL CONNECTIVITY OF JULIA SETS AND BIFURCATION LOCI: THREE THEOREMS OF J.-C. YOCCOZ
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چکیده
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 − $ D which satisˇes φP (P (z)) = (φP (z))d and tangent to the identity at ∞. We call RP (θ) = φ−1 P ({re2π iθ , r > 1}) the external ray of KP at angle θ . In the quadratic parameter space, let
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