Normal bases and compactifications of frames

 

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dc.contributor.advisor Gilmour, Christopher Robert Anderson en_ZA
dc.contributor.author Robertson, Angela May en_ZA
dc.date.accessioned 2016-03-28T14:25:42Z
dc.date.available 2016-03-28T14:25:42Z
dc.date.issued 1995 en_ZA
dc.identifier.citation Robertson, A. 1995. Normal bases and compactifications of frames. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/18247
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics en_ZA
dc.title Normal bases and compactifications of frames en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters en_ZA
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image


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