A quasi-pseudometrizability problem for ordered metric spaces

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dc.contributor.advisorKünzi, Hans-Peter Aen_ZA
dc.contributor.authorMushaandja, Zechariahen_ZA
dc.date.accessioned2014-07-31T08:09:01Z
dc.date.available2014-07-31T08:09:01Z
dc.date.issued2009en_ZA
dc.descriptionIncludes abstract.
dc.descriptionIncludes bibliographical references (leaves 83-88).
dc.description.abstractIn 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.identifier.apacitationMushaandja, 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/11427/4914en_ZA
dc.identifier.chicagocitationMushaandja, 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/11427/4914en_ZA
dc.identifier.citationMushaandja, Z. 2009. A quasi-pseudometrizability problem for ordered metric spaces. University of Cape Town.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
dc.identifier.urihttp://hdl.handle.net/11427/4914
dc.identifier.vancouvercitationMushaandja 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/11427/4914en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematicsen_ZA
dc.titleA quasi-pseudometrizability problem for ordered metric spacesen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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