The Loop Theorem using hierarchies

dc.contributor.advisorGordon, Cameron, 1945-en
dc.contributor.committeeMemberLuecke, Johnen
dc.creatorClabes, Krisen
dc.date.accessioned2010-06-04T14:44:08Zen
dc.date.available2010-06-04T14:44:08Zen
dc.date.issued2009-08en
dc.date.submittedAugust 2009en
dc.descriptiontexten
dc.description.abstractThis report will build up the machinery of special hierarchies by discussing normal surfaces and boundary patterns. Then the report will use this construction to prove the Loop Theorem, following closely the proof presented by Marc Lackenby.en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2009-08-321en
dc.language.isoengen
dc.subjectLoop Theoremen
dc.subjectHierarchiesen
dc.subjectSpecial Hierarchiesen
dc.subjectNormal Surfacesen
dc.subjectBoundary Patternsen
dc.subjectIncompressible Surfacesen
dc.titleThe Loop Theorem using hierarchiesen
dc.type.genrethesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelMastersen
thesis.degree.nameMaster of Artsen

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