dc.contributor.advisor | Olela Otafudu, Olivier | |
dc.contributor.author | Mutemwa, Ingutu Yolanda | |
dc.date.accessioned | 2021-03-01T12:37:24Z | |
dc.date.available | 2021-03-01T12:37:24Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | http://hdl.handle.net/10394/36824 | |
dc.identifier.uri | https://orcid.org/0000-0002-1962-8450 | |
dc.description | Master (Mathematics), North-West University, Mafikeng Campus, 2017 | en_US |
dc.description.abstract | A classical problem that arises in geometry is how to glue a family of metric spaces such that the resulting space preserves their properties. In this MSc dissertation, we generalise the concept of gluing a family of metric spaces to the framework of quasi-pseudometric spaces. In particular, we will look at gluing a family of q-hyperconvex quasi-pseudo metric spaces along externally q-hyperconvex subsets and along weakly externally q-hyperconvex subsets such that the resulting space preserves the q-hyperconvexity structure. We relate these
results to the well-known results in the literature. The notion of externally q-hyperconvex quasi-pseudometric spaces and weakly externally q-hyperconvex spaces are revisited and some original results are presented. Moreover, we introduce the concept of gated subsets of a quasi-pseudometric space and extend the notion of strong convexity in our context. | en_US |
dc.language.iso | en | en_US |
dc.publisher | North-West University (South Africa) | en_US |
dc.title | On the gluing of quasi-pseudometric spaces | en_US |
dc.type | Thesis | en_US |
dc.description.thesistype | Masters | en_US |
dc.contributor.researchID | 24803812 - Olela Otafudu, Olivier | |