Uniform sigma frames and the cozero part of uniform frames

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dc.contributor.advisorGilmour, Christopher Robert Andersonen_ZA
dc.contributor.authorWalters, J Len_ZA
dc.date.accessioned2016-04-01T06:46:27Z
dc.date.available2016-04-01T06:46:27Z
dc.date.issued1989en_ZA
dc.description.abstractIn this thesis some general results on uniform frames are established and then, after defining a 'uniform sigma frame', the correspondence between the two is explored via the 'uniform cozero part' of a uniform frame. It is shown that the Lindelof uniform frames and the uniform sigma frames are in fact equivalent as categories, and that properties of, and constructions using separable uniform frames can be obtained by considering the uniform cozero part. For example, the Samuel compactification of a separable uniform frame can be obtained via the Samuel compactification (in the sigma frame sense) of the underlying cozero part of the uniform frame. Throughout the thesis, choice principles such as the axioms of choice and countably dependent choice, are used, and generally without mention.en_ZA
dc.identifier.apacitationWalters, J. L. (1989). <i>Uniform sigma frames and the cozero part of uniform frames</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/18467en_ZA
dc.identifier.chicagocitationWalters, J L. <i>"Uniform sigma frames and the cozero part of uniform frames."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1989. http://hdl.handle.net/11427/18467en_ZA
dc.identifier.citationWalters, J. 1989. Uniform sigma frames and the cozero part of uniform frames. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Walters, J L AB - In this thesis some general results on uniform frames are established and then, after defining a 'uniform sigma frame', the correspondence between the two is explored via the 'uniform cozero part' of a uniform frame. It is shown that the Lindelof uniform frames and the uniform sigma frames are in fact equivalent as categories, and that properties of, and constructions using separable uniform frames can be obtained by considering the uniform cozero part. For example, the Samuel compactification of a separable uniform frame can be obtained via the Samuel compactification (in the sigma frame sense) of the underlying cozero part of the uniform frame. Throughout the thesis, choice principles such as the axioms of choice and countably dependent choice, are used, and generally without mention. DA - 1989 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1989 T1 - Uniform sigma frames and the cozero part of uniform frames TI - Uniform sigma frames and the cozero part of uniform frames UR - http://hdl.handle.net/11427/18467 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/18467
dc.identifier.vancouvercitationWalters JL. Uniform sigma frames and the cozero part of uniform frames. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1989 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18467en_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.subject.otherLattice theoryen_ZA
dc.titleUniform sigma frames and the cozero part of uniform 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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