From Convexity to R-Convexity

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dc.contributor.advisorBezdek, Károly
dc.contributor.authorRobock, Nathan
dc.contributor.committeememberDinh, Ngoc Thi
dc.contributor.committeememberBauer, Kristine
dc.date2019-11
dc.date.accessioned2019-09-17T16:57:42Z
dc.date.available2019-09-17T16:57:42Z
dc.date.issued2019-09-13
dc.description.abstractThis thesis will give a brief overview of some classical theorems of convexity, such as those of Tietze and Nakajima, which allow us to determine convexity based on local neighbourhoods of boundary points, and then proceed to introduce the concept of spindle convexity and r-convexity. I will then prove analogues of these important classical theorems for r-convexity, if possible. Lastly, I will go through two-point symmetrization for both convexity and r-convexity, and prove some new results for the r-convexity version of two-point symmetrization.en_US
dc.identifier.citationRobock, N. (2019). From Convexity to R-Convexity (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/37054
dc.identifier.urihttp://hdl.handle.net/1880/110989
dc.language.isoengen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectDiscrete Geometryen_US
dc.subjectGeometryen_US
dc.subjectTopologyen_US
dc.subjectR-convexityen_US
dc.subjectcombinatoricsen_US
dc.subject.classificationEducation--Mathematicsen_US
dc.titleFrom Convexity to R-Convexityen_US
dc.typemaster thesisen_US
thesis.degree.disciplineMathematics & Statisticsen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameMaster of Science (MSc)en_US
ucalgary.item.requestcopytrueen_US
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