👉 In mathematics, a disuniform set is a subset of a metric space that does not contain any point in its closure. This means that for every point in the set, there exists a neighborhood around it that does not intersect with the set itself. For example, consider a metric space $(X,d)$ and let $A \subseteq X$ be disuniform. Then we can define a function $\phi: A \to [0,1]$ by setting $\phi(A) = 1$.