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Functorial quasi-uniformities over partially ordered spaces
Bibliography: pages 90-94.
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613312560136192 |
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| access_status_str | Open Access |
| author | Schauerte, Anneliese |
| author2 | Brümmer, Guillaume C L |
| author_browse | Brümmer, Guillaume C L Schauerte, Anneliese |
| author_facet | Brümmer, Guillaume C L Schauerte, Anneliese |
| author_sort | Schauerte, Anneliese |
| collection | Thesis |
| description | Bibliography: pages 90-94. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/22202 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:08.683Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/22202 Functorial quasi-uniformities over partially ordered spaces Schauerte, Anneliese Brümmer, Guillaume C L Quasi-uniform spaces Partially ordered spaces Functor theory Bibliography: pages 90-94. 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]). 2016-10-19T13:36:34Z 2016-10-19T13:36:34Z 1988 Master Thesis Masters MSc http://hdl.handle.net/11427/22202 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Quasi-uniform spaces Partially ordered spaces Functor theory Schauerte, Anneliese Functorial quasi-uniformities over partially ordered spaces |
| thesis_degree_str | Master's |
| title | Functorial quasi-uniformities over partially ordered spaces |
| title_full | Functorial quasi-uniformities over partially ordered spaces |
| title_fullStr | Functorial quasi-uniformities over partially ordered spaces |
| title_full_unstemmed | Functorial quasi-uniformities over partially ordered spaces |
| title_short | Functorial quasi-uniformities over partially ordered spaces |
| title_sort | functorial quasi uniformities over partially ordered spaces |
| topic | Quasi-uniform spaces Partially ordered spaces Functor theory |
| url | http://hdl.handle.net/11427/22202 |
| work_keys_str_mv | AT schauerteanneliese functorialquasiuniformitiesoverpartiallyorderedspaces |