ABSTRACT
Let ℂ denote the complex plane and ℂ ^ = ℂ ∪ { ∞ } https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139456/0a39b20c-a58a-46b7-9cc9-0bd0f6cabd42/content/eq2.tif"/> . Let T : ℂ ^ → ℂ ^ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139456/0a39b20c-a58a-46b7-9cc9-0bd0f6cabd42/content/eq3.tif"/> denote a polynomial mapping with complex coefficients, T(z) = zN + a1zN−1+…+aN with N ≥ 2; and introduce the notation T°(z) = z and Tn+1(z) = T∘Tn(z) for n ∈ {0,1,2,…}. Then the Julia set B for T is the set of points z ∈ ℂ where {Tn(z)} is not a normal family.
