Mayila, ShegaMpimbo, MarcoRugeihyamu, Sylvester2023-05-262023-05-262023Mayila, S., Mpimbo, M., & Rugeihyamu, S. (2023). On a nation as a topological space. Research in Mathematics, 10(1), 1-13.DOI: https://doi.org/10.1080/27684830.2023.2187020http://hdl.handle.net/20.500.12661/4057Full text article. Also available at https://doi.org/10.1080/27684830.2023.2187020This 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.enInternational interactionsϕ - proximityϕ - connectednessDecision spaceTopological spacePoint-set topologyTopologyArticle