Julia Sets of Skew Products for Class MAp

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Let fj ∈ M (j = 1, 2, …, m; m≥ 1) and (~f) be the skew product associated with the generator system {f1, f2, …, fm}. Then F (~f) is completely invariant under (~f); J((~f) is completely invariant under (~f); J (~f) is perfect; J (~f) has interior points if and only if F (~f) = φ; if fj ∈ MAp (p ≥ 5), j =1, 2, …, m, then the set of the repelling fixed points of (~f) of all orders are dense in J (~f).
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