Abstract
Let f be a polynomial of degree at least two. We shall show that the Julia set J(f) of f is uniformly perfect. This means that there is a constant c∈(0,1) depending on f only such that whenever z∈J(f) and 0 < r < diam J(f) then J(f) intersects the annulus {w:cr ⩽ |w — z| ⩽ r}.
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