Geometrization of 3-dimensional orbifolds

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The purpose of this article is to give a proof of the Orbifold Theorem announced by Thurston in late 1981: If $O$ is a compact, connected, orientable, irreducible and topologically atoroidal 3-orbifold with non-empty ramification locus, then $O$ is geometric. As a corollary, any smooth orientation preserving non-free finite group action on $S^3$ is conjugate to an orthogonal action.
Revised version (one single paper instead of the previous 2)

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Geometric Topology, 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/60159

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010184
 http://arxiv.org/abs/math/0010184

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arXiv