👉 In mathematics, a nonconfluent set is a set that contains no two elements that are both equal to each other. In other words, a set A has no nonempty subset B such that for every element x in A, there exists an element y in B with x != y. This property is often used to define the concept of "nonconfluent" sets, which are subsets of a space that contain no two points that are both equal to each other.