Topological homomorphism
= Topological homomorphism
{wiki=Topological_homomorphism}
In topology and algebra, a **topological homomorphism** generally refers to a mapping between two topological spaces that preserves both algebraic structure (if they have one, like being groups, rings, etc.) and the topological structure. The term is often used in the context of topological groups, where the objects involved have both a group structure and a topology.