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The lattice of quasi-uniformities
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613162555047937 |
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| access_status_str | Open Access |
| author | De Jager, Eliza P |
| author2 | Künzi, Hans-Peter A |
| author_browse | De Jager, Eliza P Künzi, Hans-Peter A |
| author_facet | Künzi, Hans-Peter A De Jager, Eliza P |
| author_sort | De Jager, Eliza P |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/19020 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:45.395Z |
| 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:11427/19020 The lattice of quasi-uniformities De Jager, Eliza P Künzi, Hans-Peter A Mathematics and Applied Mathematics Includes bibliographical references. Over the last thirty years much progress has been made in the investigation of the lattice of uniformities on a set X. In particular, Pelant, Reiterman, Rodl and Simon have published several articles concerning anti-atoms and complements in this lattice. The aim of this dissertation is to begin a similar investigation into the lattice of quasi-uniformities θ(X) on a set X. It starts off with a summary of results obtained for the lattice of topologies on X, which, having been studied in great detail in the past, is intended as an example as to what may be achieved with θ(X). An exposit ion of the lattice of uniformities is then given. We conclude by commencing an investigation into the lattice of quasi-uniformities on X . Where possible, results obtained for the lattice of uniformities are generalized to θ(X), and some original results for θ(X) are also presented. 2016-04-20T14:08:28Z 2016-04-20T14:08:28Z 2004 Master Thesis Masters MSc http://hdl.handle.net/11427/19020 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics De Jager, Eliza P The lattice of quasi-uniformities |
| thesis_degree_str | Master's |
| title | The lattice of quasi-uniformities |
| title_full | The lattice of quasi-uniformities |
| title_fullStr | The lattice of quasi-uniformities |
| title_full_unstemmed | The lattice of quasi-uniformities |
| title_short | The lattice of quasi-uniformities |
| title_sort | lattice of quasi uniformities |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/19020 |
| work_keys_str_mv | AT dejagerelizap thelatticeofquasiuniformities AT dejagerelizap latticeofquasiuniformities |