Functorial quasi-uniformities over partially ordered spaces

 

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dc.contributor.advisor Brümmer, Guillaume C L en_ZA
dc.contributor.author Schauerte, Anneliese en_ZA
dc.date.accessioned 2016-10-19T13:36:34Z
dc.date.available 2016-10-19T13:36:34Z
dc.date.issued 1988 en_ZA
dc.identifier.citation Schauerte, A. 1988. Functorial quasi-uniformities over partially ordered spaces. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/22202
dc.description Bibliography: pages 90-94. en_ZA
dc.description.abstract 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]). en_ZA
dc.language.iso eng en_ZA
dc.subject.other Quasi-uniform spaces en_ZA
dc.subject.other Partially ordered spaces en_ZA
dc.subject.other Functor theory en_ZA
dc.title Functorial quasi-uniformities over partially ordered spaces en_ZA
dc.type Master Thesis
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
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Schauerte, 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/11427/22202 en_ZA
dc.identifier.chicagocitation Schauerte, 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/11427/22202 en_ZA
dc.identifier.vancouvercitation Schauerte 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/11427/22202 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


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