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dc.contributor.advisor | Künzi, Hans-Peter A | en_ZA |

dc.contributor.author | Mushaandja, Zechariah | en_ZA |

dc.date.accessioned | 2014-07-31T08:09:01Z | |

dc.date.available | 2014-07-31T08:09:01Z | |

dc.date.issued | 2009 | en_ZA |

dc.identifier.citation | Mushaandja, Z. 2009. A quasi-pseudometrizability problem for ordered metric spaces. University of Cape Town. | en_ZA |

dc.identifier.uri | http://hdl.handle.net/11427/4914 | |

dc.description | Includes abstract. | |

dc.description | Includes bibliographical references (leaves 83-88). | |

dc.description.abstract | 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. | en_ZA |

dc.language.iso | eng | en_ZA |

dc.subject.other | Mathematics | en_ZA |

dc.title | A quasi-pseudometrizability problem for ordered metric spaces | en_ZA |

dc.type | Doctoral 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 | Doctoral | |

dc.type.qualificationname | PhD | en_ZA |

uct.type.filetype | Text | |

uct.type.filetype | Image | |

dc.identifier.apacitation | Mushaandja, Z. (2009). <i>A quasi-pseudometrizability problem for ordered metric spaces</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4914 | en_ZA |

dc.identifier.chicagocitation | Mushaandja, Zechariah. <i>"A quasi-pseudometrizability problem for ordered metric spaces."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2009. http://hdl.handle.net/11427/4914 | en_ZA |

dc.identifier.vancouvercitation | Mushaandja Z. A quasi-pseudometrizability problem for ordered metric spaces. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2009 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4914 | en_ZA |

dc.identifier.ris | TY - Thesis / Dissertation AU - Mushaandja, Zechariah AB - 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. DA - 2009 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2009 T1 - A quasi-pseudometrizability problem for ordered metric spaces TI - A quasi-pseudometrizability problem for ordered metric spaces UR - http://hdl.handle.net/11427/4914 ER - | en_ZA |