A quasi-pseudometrizability problem for ordered metric spaces

 

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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


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