Insolite 16++ Indiscrete Metric Definition. Let $m$ be a nonempty set. Think about $\mathbb r^2$ with the usual euclidean metric. In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense. Information and translations of discrete metric in the most comprehensive dictionary definitions resource on the web.