The lattice of quasi-uniformities

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dc.contributor.advisorKünzi, Hans-Peter Aen_ZA
dc.contributor.authorDe Jager, Eliza Pen_ZA
dc.date.accessioned2016-04-20T14:08:28Z
dc.date.available2016-04-20T14:08:28Z
dc.date.issued2004en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractOver the last thirty years much progress has been made in the investigation of the lattice of uniformities on a set X. In particular, Pelant, Reiterman, Rodl and Simon have published several articles concerning anti-atoms and complements in this lattice. The aim of this dissertation is to begin a similar investigation into the lattice of quasi-uniformities θ(X) on a set X. It starts off with a summary of results obtained for the lattice of topologies on X, which, having been studied in great detail in the past, is intended as an example as to what may be achieved with θ(X). An exposit ion of the lattice of uniformities is then given. We conclude by commencing an investigation into the lattice of quasi-uniformities on X . Where possible, results obtained for the lattice of uniformities are generalized to θ(X), and some original results for θ(X) are also presented.en_ZA
dc.identifier.apacitationDe Jager, E. P. (2004). <i>The lattice of quasi-uniformities</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/19020en_ZA
dc.identifier.chicagocitationDe Jager, Eliza P. <i>"The lattice of quasi-uniformities."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004. http://hdl.handle.net/11427/19020en_ZA
dc.identifier.citationDe Jager, E. 2004. The lattice of quasi-uniformities. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - De Jager, Eliza P AB - Over the last thirty years much progress has been made in the investigation of the lattice of uniformities on a set X. In particular, Pelant, Reiterman, Rodl and Simon have published several articles concerning anti-atoms and complements in this lattice. The aim of this dissertation is to begin a similar investigation into the lattice of quasi-uniformities θ(X) on a set X. It starts off with a summary of results obtained for the lattice of topologies on X, which, having been studied in great detail in the past, is intended as an example as to what may be achieved with θ(X). An exposit ion of the lattice of uniformities is then given. We conclude by commencing an investigation into the lattice of quasi-uniformities on X . Where possible, results obtained for the lattice of uniformities are generalized to θ(X), and some original results for θ(X) are also presented. DA - 2004 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2004 T1 - The lattice of quasi-uniformities TI - The lattice of quasi-uniformities UR - http://hdl.handle.net/11427/19020 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/19020
dc.identifier.vancouvercitationDe Jager EP. The lattice of quasi-uniformities. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/19020en_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.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleThe lattice of quasi-uniformitiesen_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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