We are excited to announce that the repository will soon undergo an upgrade, featuring a new look and feel along with several enhanced features to improve your experience. Please be on the lookout for further updates and announcements regarding the launch date. We appreciate your support and look forward to unveiling the improved platform soon.
dc.contributor.advisor | Van der Walt, Jan Harm | |
dc.contributor.coadvisor | Wortel, Marten | |
dc.contributor.postgraduate | Chitanga, Painos | |
dc.date.accessioned | 2022-03-30T09:37:26Z | |
dc.date.available | 2022-03-30T09:37:26Z | |
dc.date.created | 2022-09 | |
dc.date.issued | 2021 | |
dc.description | Dissertation (MSc (Mathematics))--University of Pretoria, 2021. | en_ZA |
dc.description.abstract | The space C(X) of real-valued continuous functions on a topological space X is a vector lattice and a locally convex topological vector space, but what is the interaction between these structures? In the case of a compact space X, the norm and the order are closely related to one another. Indeed, one may define the norm through the order structure. We aim to generalize these results to a non-compact space. Let X be a Tychonoff space and consider C(X) equipped with the compact-open topology. We will establish a relationship between this topology and the order structure on C(X) | en_ZA |
dc.description.availability | Unrestricted | en_ZA |
dc.description.degree | MSc (Mathematics) | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.sponsorship | Mastercard Foundation Scholarship | en_ZA |
dc.identifier.citation | * | en_ZA |
dc.identifier.other | S2022 | en_ZA |
dc.identifier.uri | http://hdl.handle.net/2263/84700 | |
dc.language.iso | en | en_ZA |
dc.publisher | University of Pretoria | |
dc.rights | © 2022 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. | |
dc.subject | UCTD | en_ZA |
dc.subject | Vector Lattices | en_ZA |
dc.subject | Semi-order units | en_ZA |
dc.subject | Continuous functions | en_ZA |
dc.title | Semi-order units in vector lattices | en_ZA |
dc.type | Dissertation | en_ZA |