Partial holomorphic semiconjugacies between rational functions

Details Partial holomorphic semiconjugacies between rational functions Partial holomorphic semiconjugacies between rational functions

2010-08-27

arxiv.org/abs/1008.4670v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

We establish a general result on the existence of partially defined
semiconjugacies between rational functions acting on the Riemann sphere. The
semiconjugacies are defined on the complements to at most one-dimensional sets.
They are holomorphic in a certain sense.

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