Erdős space in Julia sets
Copyright policy )Erdős space in Julia sets
AbstractWe prove that the rational Hilbert space, known as the Erdős space , surfaces in complex dynamics via iteration of . More precisely, is topologically equivalent to the set of endpoints of the Julia set whose orbits tend to infinity in the imaginary direction.
37F10, 30D05, 54F45, General Topology (math.GN), FOS: Mathematics, General Topology, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Dynamical Systems, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Dimension theory in general topology
37F10, 30D05, 54F45, General Topology (math.GN), FOS: Mathematics, General Topology, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Dynamical Systems, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Dimension theory in general topology
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