👉 A homoeomorphism is a function that preserves some property of the domain (or its image) under a certain operation. In other words, it maps each element in the domain to an equivalent element in the codomain, regardless of whether or not they are equal. For example, if f(x) = x^2 and g(x) = x + 1, then f(g(x)) = (x + 1)^2. A homoeomorphism can be thought of as