👉 In mathematics, homoeomorphy is a type of homology that involves a mapping between two spaces. In other words, it relates two topological spaces by means of a continuous map, which preserves certain properties of one space but does not necessarily preserve others. For example, let's say we have two spaces X and Y with the same underlying topological space (say R^2). If we have a continuous function f: X -> Y that maps points in X to points in Y
