Functorial quasi-uniformities over partially ordered spaces

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dc.contributor.advisorBrümmer, Guillaume C Len_ZA
dc.contributor.authorSchauerte, Annelieseen_ZA
dc.date.accessioned2016-10-19T13:36:34Z
dc.date.available2016-10-19T13:36:34Z
dc.date.issued1988en_ZA
dc.descriptionBibliography: pages 90-94.en_ZA
dc.description.abstractOrdered spaces were introduced by Leopoldo Nachbin [1948 a, b, c, 1950, 1965]. We will be primarily concerned with completely regular ordered spaces, because they are precisely those ordered spaces which admit quasi-uniform structures. A recent and convenient study of these spaces is in the book by P. Fletcher and W.F. Lindgren [1982]. In this thesis we consider functorial quasi-uniformities over (partially) ordered spaces. The functorial methods which we use were developed by Brummer [1971, 1977, 1979, 1982] and Brummer and Hager [1984, 1987] in the context of functorial uniformities over completely regular topological spaces, and of functorial quasi-uniformities over pairwise. completely regular bitopological spaces. We obtain results which are to a large extent analogous to results in those papers. We also introduce some functors which relate our functorial quasi-uniformities to the structures studied by Brummer and others (e.g. Salbany [1984]).en_ZA
dc.identifier.apacitationSchauerte, A. (1988). <i>Functorial quasi-uniformities over partially ordered spaces</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/22202en_ZA
dc.identifier.chicagocitationSchauerte, Anneliese. <i>"Functorial quasi-uniformities over partially ordered spaces."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1988. http://hdl.handle.net/11427/22202en_ZA
dc.identifier.citationSchauerte, A. 1988. Functorial quasi-uniformities over partially ordered spaces. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Schauerte, Anneliese AB - Ordered spaces were introduced by Leopoldo Nachbin [1948 a, b, c, 1950, 1965]. We will be primarily concerned with completely regular ordered spaces, because they are precisely those ordered spaces which admit quasi-uniform structures. A recent and convenient study of these spaces is in the book by P. Fletcher and W.F. Lindgren [1982]. In this thesis we consider functorial quasi-uniformities over (partially) ordered spaces. The functorial methods which we use were developed by Brummer [1971, 1977, 1979, 1982] and Brummer and Hager [1984, 1987] in the context of functorial uniformities over completely regular topological spaces, and of functorial quasi-uniformities over pairwise. completely regular bitopological spaces. We obtain results which are to a large extent analogous to results in those papers. We also introduce some functors which relate our functorial quasi-uniformities to the structures studied by Brummer and others (e.g. Salbany [1984]). DA - 1988 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1988 T1 - Functorial quasi-uniformities over partially ordered spaces TI - Functorial quasi-uniformities over partially ordered spaces UR - http://hdl.handle.net/11427/22202 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/22202
dc.identifier.vancouvercitationSchauerte A. Functorial quasi-uniformities over partially ordered spaces. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1988 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/22202en_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.otherQuasi-uniform spacesen_ZA
dc.subject.otherPartially ordered spacesen_ZA
dc.subject.otherFunctor theoryen_ZA
dc.titleFunctorial quasi-uniformities over partially ordered 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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