An investigation of the strongness property for nearness frames select="/dri:document/dri:meta/dri:pageMeta/dri:metadata[@element='title']/node()"/>

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Show simple item record Haimene, Mirjam Nangombe 2018-05-26T11:25:29Z 2018-05-26T11:25:29Z 2018
dc.description A mini-thesis submitted in partial fulfillment of the requirements for the Degree of Master of Science in Pure Mathematics en_US
dc.description.abstract This study will investigate the strongness property for nearness and nearness partial frames. We initially revisit the concepts of strong and totally strong nearness frame and study their closures under completion. We also explore the properties of totally strong and uniformly completely regular nearness frames, and study the relationship between them. We show that the category of totally strong nearness frames is coreflective in the category of uniformly completely regular nearness frames. This we do by constructing the coreflection. Further, we study nearness in the context of partial frames with particular emphasis to the strong and totally strong properties. We follow [6] in constructing the respective coreflections using the notion of P-Approximations. en_US
dc.language.iso en en_US
dc.publisher University of Namibia en_US
dc.subject Nearness frames en_US
dc.subject Regular frames en_US
dc.subject Coreflection en_US
dc.title An investigation of the strongness property for nearness frames en_US
dc.type Thesis en_US

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