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Hubbard & Douady — Mandelbrot Set

Dependency charts related to the work of John H. Hubbard (Cornell) and Adrien Douady on the Mandelbrot set: quadratic Julia sets, Böttcher coordinate, connectedness proof, polynomial-like maps and straightening. Douady coined the name "Mandelbrot set."

Quadratic Julia Sets & Mandelbrot Set f_c(z)=z²+c, filled Julia K_c, M = {c : 0 ∈ K_c} Böttcher Coordinate & External Rays Conjugation near infinity, equipotentials, external rays Douady-Hubbard: Mandelbrot Set Connected φ map, biholomorphism, M connected (1981-82) Polynomial-like Maps & Straightening Straightening theorem, small copies of M (1985)