👉 A hemimorphism is a morphism between two topological spaces that preserves both the structure of the underlying topological space and the topology induced by the base space. In other words, it maps open sets in the source domain to open sets in the target domain, and closed sets to closed sets. The term "hemimorphism" comes from the fact that a hemimorphism can be thought of as a morphism between two topological spaces that is both continuous and bijective (i.e