Hyperconvexity and endpoints in T₀-quasi-metric spaces

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dc.contributor.advisorKünzi, Hans-Peter Aen_ZA
dc.contributor.authorHaihambo, Paulusen_ZA
dc.date.accessioned2014-08-20T19:08:11Z
dc.date.available2014-08-20T19:08:11Z
dc.date.issued2013en_ZA
dc.description.abstractOver the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces. In 1964 Isbell introduced and studied the concept of an endpoint of a metric space. The aim of this dissertation is to begin an investigation into hyperconvexity and endpoints of T₀-quasi-metric spaces. It starts off with basic definitions and some well-known properties of quasi-pseudometric spaces. We conclude by commencing an investigation into hyperconvexity and endpoints of T₀-quasi-metric spaces. In this dissertation several results obtained for hyperconvexity and endpoints in metric spaces are generalized to T₀-quasi-metric spaces, and some original results for hyperconvexity and endpoints of T₀-quasi-metric spaces are presented. We also discuss for a partially ordered set the connection between its Dedekind-MacNeille completion and the q-hyperconvex hull of its natural T₀-quasi-metric space.en_ZA
dc.identifier.apacitationHaihambo, P. (2013). <i>Hyperconvexity and endpoints in T₀-quasi-metric spaces</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/6617en_ZA
dc.identifier.chicagocitationHaihambo, Paulus. <i>"Hyperconvexity and endpoints in T₀-quasi-metric spaces."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2013. http://hdl.handle.net/11427/6617en_ZA
dc.identifier.citationHaihambo, P. 2013. Hyperconvexity and endpoints in T₀-quasi-metric spaces. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Haihambo, Paulus AB - Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces. In 1964 Isbell introduced and studied the concept of an endpoint of a metric space. The aim of this dissertation is to begin an investigation into hyperconvexity and endpoints of T₀-quasi-metric spaces. It starts off with basic definitions and some well-known properties of quasi-pseudometric spaces. We conclude by commencing an investigation into hyperconvexity and endpoints of T₀-quasi-metric spaces. In this dissertation several results obtained for hyperconvexity and endpoints in metric spaces are generalized to T₀-quasi-metric spaces, and some original results for hyperconvexity and endpoints of T₀-quasi-metric spaces are presented. We also discuss for a partially ordered set the connection between its Dedekind-MacNeille completion and the q-hyperconvex hull of its natural T₀-quasi-metric space. DA - 2013 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2013 T1 - Hyperconvexity and endpoints in T₀-quasi-metric spaces TI - Hyperconvexity and endpoints in T₀-quasi-metric spaces UR - http://hdl.handle.net/11427/6617 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/6617
dc.identifier.vancouvercitationHaihambo P. Hyperconvexity and endpoints in T₀-quasi-metric spaces. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2013 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/6617en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.titleHyperconvexity and endpoints in T₀-quasi-metric spacesen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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