👉 In mathematics, a superstate is a concept used in topology and geometry. A superstate of a space X is a subset S of X such that every point x in X has a neighborhood U containing at least one point of S. In other words, it's the smallest closed set in X that contains S. For example, consider the Euclidean plane R^2 with the metric d(x,y) = |x - y|. The set { (x,0) | x ∈ R
