👉 In mathematics, a homoeomorphism is a function that respects both the domain and range of another function. It means that it maps elements in the domain to elements in the range of the other function. In other words, if f and g are functions from A to B, then f(x) = g(y) implies x = y for all x in A. For example, consider two functions: 1. f(x) = 3x + 2 2. g(x)