Oguz, G.Icen, I.Gursoy, M. H.2024-08-042024-08-0420170973-13770973-7545https://hdl.handle.net/11616/103791In this study, we investigate the interaction of sheaves and groupoids. More precisely, we study the interaction between the local equivalence relations and local subgroupoids. A local equivalence relation on a topological space X is a global section of the sheaf of germs of equivalence relations on X. In the light of this definition, the concept of a local subgroupoid of a topological groupoid G is a global section of a certain sheaf of subgroupoid associated to G. It is also an introduction to the notions of r-sheaves and s-sheaves introduced by Icen (Icen, 2000).eninfo:eu-repo/semantics/closedAccessEquivalence relationpresheafsheafsectionactiongrupoidsubgroupoidArticle5637482WOS:000391133000008N/A