Nearly Euclidean Thurston Maps and the Halfspace Theorem

Simple item page
dc.contributor.authorKim, Daniel Minen
dc.contributor.committeechairFloyd, William J.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2016-11-15T09:00:31Zen
dc.date.available2016-11-15T09:00:31Zen
dc.date.issued2016-11-14en
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
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:9218en
dc.identifier.urihttp://hdl.handle.net/10919/73446en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectNearly Euclidean Thurston mapsen
dc.subjecthalf-space theoremen
dc.titleNearly Euclidean Thurston Maps and the Halfspace Theoremen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Kim_DM_T_2016.pdf
Size:
716.42 KB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses