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arxiv: math/0303261 · v2 · pith:VOOPTXUXnew · submitted 2003-03-20 · 🧮 math.DS · math.GN

Surface homeomorphisms with zero dimensional singular set

classification 🧮 math.DS math.GN
keywords singularsurfaceclosedconformalconjugatedimensionaldisconnectedhomeomorphism
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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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