Let j be a positive integer. For each integer n > j we consider the connectedness locus Mn of the family of polynomials Pc(z) = z n - cz n-j, where c is a complex parameter. We prove that lim n→∞ Mn = D in the Hausdorff topology, where D is the unitary closed disk {c;|c|<1}.
Julia set; connectedness locus; hyperbolic components; principal components
