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Surface homeomorphisms with zero dimensional singular set

Christian Bonatti·Boris Kolev
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Abstract

We prove that if f is an orientation-preserving homeomorphism of a closed orientable surface M whose singular set is totally disconnected, then f is topologically conjugate to a conformal transformation.

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Christian Bonatti, Boris Kolev. 2005-09-17. Surface homeomorphisms with zero dimensional singular set. https://doi.org/10.1016/s0166-8641(97)00179-x

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