Geometrization of 3-dimensional orbifolds

dc.creatorBoileau, Michel
dc.creatorLeeb, Bernhard
dc.creatorPorti, Joan
dc.date2000-10-18
dc.date2003-12-01
dc.date.accessioned2026-07-07T04:38:07Z
dc.date.available2026-07-07T04:38:07Z
dc.descriptionThe 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.
dc.descriptionRevised version (one single paper instead of the previous 2)
dc.identifierhttps://arxiv.org/abs/math/0010184
dc.identifierhttp://arxiv.org/abs/math/0010184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60159
dc.subjectGeometric Topology
dc.subject57M50
dc.titleGeometrization of 3-dimensional orbifolds
dc.typetext

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