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dc.contributor.authorKim, Daniel Minen_US
dc.date.accessioned2016-11-15T09:00:31Z
dc.date.available2016-11-15T09:00:31Z
dc.date.issued2016-11-14en_US
dc.identifier.othervt_gsexam:9218en_US
dc.identifier.urihttp://hdl.handle.net/10919/73446
dc.description.abstractA Thurston map whose postcritical set consists of exactly four points and for which the local degree at each of its critical points is 2 is called textit{nearly Euclidean}. These maps were specified to parse Thurston's combinatorial characterization of rational functions. We determine an extension of the half-space theorem which provides an open hyperbolic half-space such that the negative reciprocal of any fixed slope value is excluded from the boundary of the half-space.en_US
dc.format.mediumETDen_US
dc.publisherVirginia Techen_US
dc.rightsThis Item is protected by copyright and/or related rights. Some uses of this Item may be deemed fair and permitted by law even without permission from the rights holder(s), or the rights holder(s) may have licensed the work for use under certain conditions. For other uses you need to obtain permission from the rights holder(s).en_US
dc.subjectNearly Euclidean Thurston mapsen_US
dc.subjecthalf-space theoremen_US
dc.titleNearly Euclidean Thurston Maps and the Halfspace Theoremen_US
dc.typeThesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairFloyd, William J.en_US
dc.contributor.committeememberBrown, Ezra A.en_US
dc.contributor.committeememberRossi, John F.en_US


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