Assume that a quadratic function $f_{c}(z)=z^{2}+c$ have attractive cycle with period $p$. Is the number of external rays landed at the fixed point of $f_{c}$ exactly $p$? Does the Julia set is locally connected? I have searched the book by Milnor and Gamelin and many papers by Milnor, but none of them give similar statement.
2026-04-24 03:36:03.1777001763
external ray and period of Julia sets
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