Normal bases and compactifications of frames

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dc.contributor.advisorGilmour, Christopher Robert Andersonen_ZA
dc.contributor.authorRobertson, Angela Mayen_ZA
dc.date.accessioned2016-03-28T14:25:42Z
dc.date.available2016-03-28T14:25:42Z
dc.date.issued1995en_ZA
dc.description.abstractThe initial aim of this dissertation was to provide a frame-theoretic analogue of Banaschewski's normal systems of sets in [5] as well as a frame counterpart to their associated compactifications. Having completed this part of the task, it seemed natural to investigate the relationship between this compactification and those mentioned above. Hence the first five chapters of the dissertation are devoted to the study of the frame counterparts to six well-known compactifications in the category of topological spaces. For each compactification studied, we give some motivation as to why it should be regarded as a frame-theoretic analogue of its classical counterpart. The sixth chapter is concerned with the relationships between the compactifications: in particular we are interested in conditions under which the different constructions give rise to the same compactification.en_ZA
dc.identifier.apacitationRobertson, A. M. (1995). <i>Normal bases and compactifications of frames</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/18247en_ZA
dc.identifier.chicagocitationRobertson, Angela May. <i>"Normal bases and compactifications of frames."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1995. http://hdl.handle.net/11427/18247en_ZA
dc.identifier.citationRobertson, A. 1995. Normal bases and compactifications of frames. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Robertson, Angela May AB - The initial aim of this dissertation was to provide a frame-theoretic analogue of Banaschewski's normal systems of sets in [5] as well as a frame counterpart to their associated compactifications. Having completed this part of the task, it seemed natural to investigate the relationship between this compactification and those mentioned above. Hence the first five chapters of the dissertation are devoted to the study of the frame counterparts to six well-known compactifications in the category of topological spaces. For each compactification studied, we give some motivation as to why it should be regarded as a frame-theoretic analogue of its classical counterpart. The sixth chapter is concerned with the relationships between the compactifications: in particular we are interested in conditions under which the different constructions give rise to the same compactification. DA - 1995 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1995 T1 - Normal bases and compactifications of frames TI - Normal bases and compactifications of frames UR - http://hdl.handle.net/11427/18247 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/18247
dc.identifier.vancouvercitationRobertson AM. Normal bases and compactifications of frames. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1995 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18247en_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.otherMathematicsen_ZA
dc.titleNormal bases and compactifications of framesen_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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