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A quasi-pseudometrizability problem for ordered metric spaces
Includes abstract.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613172298416128 |
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| access_status_str | Open Access |
| author | Mushaandja, Zechariah |
| author2 | Künzi, Hans-Peter A |
| author_browse | Künzi, Hans-Peter A Mushaandja, Zechariah |
| author_facet | Künzi, Hans-Peter A Mushaandja, Zechariah |
| author_sort | Mushaandja, Zechariah |
| collection | Thesis |
| description | Includes abstract. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4914 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:54.917Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| 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:11427/4914 A quasi-pseudometrizability problem for ordered metric spaces Mushaandja, Zechariah Künzi, Hans-Peter A Mathematics Includes abstract. Includes bibliographical references (leaves 83-88). In this dissertation we obtain several results in the setting of ordered topological spaces related to the Hanai-Morita-Stone Theorem. The latter says that if f is a closed continuous map of a metric space X onto a topological space Y then the following statements are equivalent: (i) Y satisfies the first countability axiom; (ii) For each y 2 Y, f−1{y} has a compact boundary in X; (iii) Y is metrizable. A partial analogue of the above theorem for ordered topological spaces is herein obtained. 2014-07-31T08:09:01Z 2014-07-31T08:09:01Z 2009 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/4914 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Mushaandja, Zechariah A quasi-pseudometrizability problem for ordered metric spaces |
| thesis_degree_str | Doctoral |
| title | A quasi-pseudometrizability problem for ordered metric spaces |
| title_full | A quasi-pseudometrizability problem for ordered metric spaces |
| title_fullStr | A quasi-pseudometrizability problem for ordered metric spaces |
| title_full_unstemmed | A quasi-pseudometrizability problem for ordered metric spaces |
| title_short | A quasi-pseudometrizability problem for ordered metric spaces |
| title_sort | quasi pseudometrizability problem for ordered metric spaces |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/4914 |
| work_keys_str_mv | AT mushaandjazechariah aquasipseudometrizabilityproblemfororderedmetricspaces AT mushaandjazechariah quasipseudometrizabilityproblemfororderedmetricspaces |