Strong Homomorphisms of Topological Groupoids

摘要

In this work, we generalized to topological groupoids that we known the strong morphism for groups. Also we obtained some characterizations of these homomorphisms. Namely, when there is a homomorphism between algebraic structures, there is an important result that arises from this homomorphism between the substructures of these algebraic structures: the correspondence theorem between substructures. From the perspective of groupoid theory, this theorem establishes a bijective correspondence between the subgroupoids of two related groupoids under a surjective homomorphism.