Convexities in T0-quasi-metric spaces.
| dc.contributor.author | Nyirongo, Kennany | |
| dc.date.accessioned | 2022-03-24T09:14:12Z | |
| dc.date.available | 2022-03-24T09:14:12Z | |
| dc.date.issued | 2021 | |
| dc.description | Thesis | en |
| dc.description.abstract | In this thesis, we recall three types of convexities in metric spaces, namely; Menger convexity, Takahashi convexity andM-convexity. We then generalise these convexities to the framework of T0-quasi-metric spaces. Since the concept of convexities heavily relies on the concept of betweenness, a fundamental concept in the study of axiomatic geometry, we begin by generalising the concept of betweenness to T0-quasi-metric spaces. We show that Takahashi convexity implies Menger convexity in T0-quasi-metric spaces. Lastly, we generalise the concept of M-convexity to T0-quasi-metric setting and present some best approximations in these spaces. | en |
| dc.identifier.uri | http://dspace.unza.zm/handle/123456789/7219 | |
| dc.language.iso | en | en |
| dc.publisher | The University of Zambia | en |
| dc.subject | Metric spaces | en |
| dc.subject | Convexities | en |
| dc.subject | Menger convexity | en |
| dc.title | Convexities in T0-quasi-metric spaces. | en |
| dc.type | Thesis | en |