On a nation as a topological space
| dc.contributor.author | Mayila, Shega | |
| dc.contributor.author | Mpimbo, Marco | |
| dc.contributor.author | Rugeihyamu, Sylvester | |
| dc.date.accessioned | 2023-05-26T10:37:06Z | |
| dc.date.available | 2023-05-26T10:37:06Z | |
| dc.date.issued | 2023 | |
| dc.description | Full text article. Also available at https://doi.org/10.1080/27684830.2023.2187020 | en_US |
| dc.description.abstract | This paper introduces point-set topology into international interactions. Nations are sets of people who interact if there is a well-defined function between them. To do all these, we need to have the structure that describes how such nations interact. This calls for a topology. The kind of topology we construct in this perspective is made up by decision spaces. We first begin by developing a mathematical representation of a decision space, and use such spaces to develop a topology on a nation. Subsequently, we revisit some properties of the interior, closure, limit, and boundary points with respect to this topology and the new concept of ϕ - proximity. Finally, we define and develop ϕ - connectedness of subspaces of a nation. | en_US |
| dc.identifier.citation | Mayila, S., Mpimbo, M., & Rugeihyamu, S. (2023). On a nation as a topological space. Research in Mathematics, 10(1), 1-13. | en_US |
| dc.identifier.other | DOI: https://doi.org/10.1080/27684830.2023.2187020 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12661/4057 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis | en_US |
| dc.subject | International interactions | en_US |
| dc.subject | ϕ - proximity | en_US |
| dc.subject | ϕ - connectedness | en_US |
| dc.subject | Decision space | en_US |
| dc.subject | Topological space | en_US |
| dc.subject | Point-set topology | en_US |
| dc.subject | Topology | en_US |
| dc.title | On a nation as a topological space | en_US |
| dc.type | Article | en_US |