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math.DS2010★ 2 cited
Partial holomorphic semiconjugacies between rational functions
Vladlen Timorin
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…
math.DS2010
Moore's theorem
Vladlen Timorin
In this (mostly expository) paper, we review a proof of the following old theorem of R.L. Moore: for a closed equivalence relation on the 2-sphere such that all equivalence classes…