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What is Erdős Space in Julia Sets about?

This document discusses the relationship between Erdős space and the structure of Julia sets of complex exponential functions. Specifically: 1. It proves that the set of endpoints in the Julia set of exp(z)-1 whose orbits escape to infinity in the imaginary direction is homeomorphic to Erdős space. 2. This result is generalized to all complex exponential functions exp(z)+a which have attracting or parabolic periodic orbits. 3. A topological model is described that represents the Julia set as a subset o

Author

picard82

Language

EN