Construction of quasi-metrics determined by orders

 

Show simple item record

dc.contributor.advisor Künzi, Hans-Peter A en_ZA
dc.contributor.author Gaba, Yae O K Ulrich en_ZA
dc.date.accessioned 2016-07-26T12:15:29Z
dc.date.available 2016-07-26T12:15:29Z
dc.date.issued 2016 en_ZA
dc.identifier.citation Gaba, Y. 2016. Construction of quasi-metrics determined by orders. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/20769
dc.description.abstract The second half of the last century has seen a growing interest in the area of quasi-pseudometricspaces and related asymmetric structures. Problems arising from theoretical computer science, applied physics and many more areas can easily be expressed in that setting. In the asymmetric framework, many investigations on general topology have been done in order to extend known results of the classical theory. It is the aim of this thesis to dig more into this theory by investigating the existence of quasi-pseudometrics that produce a given partially ordered metric space. We show that whenever one has an ordered metric space, it is often possible to describe both the metric and the order using quasi-pseudometrics. We establish respectively topological and algebraic conditions for the existence of such quasi-pseudometrics.We deduct some specific conditions when the ordered metric space(X; m,≤) is assumed to have some topological properties such as compactness. When a producing quasi-pseudo metric exists, the question of uniqueness is also studied. A characterization of produced spaces is given. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title Construction of quasi-metrics determined by orders en_ZA
dc.type Thesis / Dissertation en_ZA
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 en_ZA
dc.type.qualificationname PhD en_ZA
uct.type.filetype Text
uct.type.filetype Image


Files in this item

This item appears in the following Collection(s)

Show simple item record