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arxiv: math/9709225 · v1 · submitted 1997-09-15 · 🧮 math.DS

Bounded hyperbolic components of quadratic rational maps

classification 🧮 math.DS
keywords hyperbolicmapsquadraticrationalattractingattractorboundedclosure
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Let ${\cal H}$ be a hyperbolic component of quadratic rational maps possessing two distinct attracting cycles. We show that ${\cal H}$ has compact closure in moduli space if and only if neither attractor is a fixed point.

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