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The Eight Geometries of the Geometrization Conjecture

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dc.creator Grady, Noella
dc.date.accessioned 2011-11-07T17:53:46Z
dc.date.available 2011-11-07T17:53:46Z
dc.date.issued 2011-08-29
dc.identifier.uri http://hdl.handle.net/1957/25249
dc.description.abstract In this paper we explore the eight geometries of Thurston's geometrization conjecture. We begin by discussing group actions, covering space topology, fiber bundles, and Seifert fiber spaces. We make precise the notion of a geometric structure. We then discuss the two dimensional geometries including a brief proof of the uniformization theorem. We list each of the eight geometries of Thurston's geometrization conjecture and then explore in depth the geometries of the two sphere cross the real line and of the three sphere. en_US
dc.language.iso en_US en_US
dc.subject Thurston geometrization conjecture en_US
dc.subject geometry en_US
dc.subject three-manifold en_US
dc.subject Seifert fiber space en_US
dc.title The Eight Geometries of the Geometrization Conjecture en_US
dc.type Research Paper en_US
dc.degree.name Master of Science (M.S.) en_US
dc.degree.level Master's en_US
dc.degree.grantor Oregon State University en_US
dc.description.peerreview no en_US


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