Bounded hyperbolic components of quadratic rational maps
classification
🧮 math.DS
keywords
hyperbolicmapsquadraticrationalattractingattractorboundedclosure
read the original abstract
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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