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The scale of a quasi-uniform space
Over the last forty years much progress has been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613310107516928 |
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| access_status_str | Open Access |
| author | Olivier, Olela Otafudu |
| author2 | Künzi, Hans-Peter A |
| author_browse | Künzi, Hans-Peter A Olivier, Olela Otafudu |
| author_facet | Künzi, Hans-Peter A Olivier, Olela Otafudu |
| author_sort | Olivier, Olela Otafudu |
| collection | Thesis |
| description | Over the last forty years much progress has been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the scale of a quasi-uniform space. It starts off with a summary of results obtained for the scale of a uniform space, which, has been investigated in the past. We conclude by commencing an investigation into the scale of a quasi-uniform space. Here several results obtained for the scale of a uniform space are generalized, and some original results for the scale of a quasi-uniform space are presented.
Includes bibliographical references (pages 76-79). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/19067 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:06.076Z |
| 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:11427/19067 The scale of a quasi-uniform space Olivier, Olela Otafudu Künzi, Hans-Peter A Mathematics Over the last forty years much progress has been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the scale of a quasi-uniform space. It starts off with a summary of results obtained for the scale of a uniform space, which, has been investigated in the past. We conclude by commencing an investigation into the scale of a quasi-uniform space. Here several results obtained for the scale of a uniform space are generalized, and some original results for the scale of a quasi-uniform space are presented. Includes bibliographical references (pages 76-79). 2016-04-21T09:39:58Z 2016-04-21T09:39:58Z 2009 Master Thesis Masters MSc http://hdl.handle.net/11427/19067 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Olivier, Olela Otafudu The scale of a quasi-uniform space |
| thesis_degree_str | Master's |
| title | The scale of a quasi-uniform space |
| title_full | The scale of a quasi-uniform space |
| title_fullStr | The scale of a quasi-uniform space |
| title_full_unstemmed | The scale of a quasi-uniform space |
| title_short | The scale of a quasi-uniform space |
| title_sort | scale of a quasi uniform space |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/19067 |
| work_keys_str_mv | AT olivierolelaotafudu thescaleofaquasiuniformspace AT olivierolelaotafudu scaleofaquasiuniformspace |