A classification of the morphisms between two topological groupoids and the determination of the relationships existing among these morphisms

Abstract

The investigation of this paper is introduced by describing an important collection of morphisms between two topological groupoids. Characterizations of the different types of morphisms of this collection will be formulated in order to facilitate the construction and the classication of the various morphisms considered. In addition, the relationships existing among the various members of this collection will be determined.