👉 In mathematics and topology, "homeomorphy" refers to a property of topological spaces that is preserved under homeomorphisms. A homeomorphism is a bijection between two topological spaces that preserves distances, angles, orientation, and other properties that are invariant under homeomorphisms. A topological space X with a homeomorphism f from X onto Y is said to be homeomorphic to another topological space Z if there exists an open set U in X such that